Atkin-Lehner |
2- 5+ 7+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
121520bg |
Isogeny class |
Conductor |
121520 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
9206784 |
Modular degree for the optimal curve |
Δ |
-1.135295447552E+21 |
Discriminant |
Eigenvalues |
2- 3 5+ 7+ 2 4 -4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2614003,-2296551502] |
[a1,a2,a3,a4,a6] |
Generators |
[4303677:1718126578:27] |
Generators of the group modulo torsion |
j |
-200858330740497129/115440125000000 |
j-invariant |
L |
13.347916830226 |
L(r)(E,1)/r! |
Ω |
0.057833227757688 |
Real period |
R |
9.6166723047048 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000028596 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15190b1 121520cs1 |
Quadratic twists by: -4 -7 |