Atkin-Lehner |
2- 3- 5+ 13- 41- |
Signs for the Atkin-Lehner involutions |
Class |
79950bz |
Isogeny class |
Conductor |
79950 |
Conductor |
∏ cp |
112 |
Product of Tamagawa factors cp |
deg |
1032192 |
Modular degree for the optimal curve |
Δ |
-262236000000000000 = -1 · 214 · 3 · 512 · 13 · 412 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 0 13- 4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-99188,27406992] |
[a1,a2,a3,a4,a6] |
Generators |
[168:3852:1] |
Generators of the group modulo torsion |
j |
-6906871239936121/16783104000000 |
j-invariant |
L |
14.25206769772 |
L(r)(E,1)/r! |
Ω |
0.27480843837413 |
Real period |
R |
1.8522081082258 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000202 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15990f1 |
Quadratic twists by: 5 |