Atkin-Lehner |
2+ 3+ 7- 13- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
87906f |
Isogeny class |
Conductor |
87906 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
29030400 |
Modular degree for the optimal curve |
Δ |
4.5983738313116E+22 |
Discriminant |
Eigenvalues |
2+ 3+ 2 7- 6 13- -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-352577614,-2548306686848] |
[a1,a2,a3,a4,a6] |
Generators |
[122190005337466562926735928305814614751116383614594031:-25970333188168293382167006316131146091904313463403538323:2323612180539214873830663409660915610466288095159] |
Generators of the group modulo torsion |
j |
41200233490632422261295577/390855326548597092 |
j-invariant |
L |
5.4694071534335 |
L(r)(E,1)/r! |
Ω |
0.034840639518203 |
Real period |
R |
78.491773239924 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000439 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12558f1 |
Quadratic twists by: -7 |