Atkin-Lehner |
2+ 3- 5- 23+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
60030q |
Isogeny class |
Conductor |
60030 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
6266880 |
Modular degree for the optimal curve |
Δ |
6.5541325634666E+20 |
Discriminant |
Eigenvalues |
2+ 3- 5- 4 -4 6 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-16383609,25499167213] |
[a1,a2,a3,a4,a6] |
Generators |
[765051:-2780308:343] |
Generators of the group modulo torsion |
j |
667152201169153598575249/899057964810240000 |
j-invariant |
L |
6.2157751569028 |
L(r)(E,1)/r! |
Ω |
0.16143820949323 |
Real period |
R |
9.6256257674362 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000508 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
20010q1 |
Quadratic twists by: -3 |