Atkin-Lehner |
2+ 3- 7- 13+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
60606o |
Isogeny class |
Conductor |
60606 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
1.0755231094685E+29 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- 4 13+ 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-839723695398,-296177741859262284] |
[a1,a2,a3,a4,a6] |
Generators |
[-265769765264965277731383966934211516503463478704095726655044127686016154667945490751346966645181998777223860498799666090231:123482391925013442346739153366263443707977576828836102012118118360703143899114873726435326153000990413831259037769573617901:502334205888508157150801525860583422056396350411596328380453060037968623416481123858297928483737468564820070885103193] |
Generators of the group modulo torsion |
j |
89826692480607748349458339936647568993/147534034220638664018853888 |
j-invariant |
L |
3.7509021984129 |
L(r)(E,1)/r! |
Ω |
0.0049872995362103 |
Real period |
R |
188.02270503203 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
20202k3 |
Quadratic twists by: -3 |