Atkin-Lehner |
2- 3- 17- 83- |
Signs for the Atkin-Lehner involutions |
Class |
50796d |
Isogeny class |
Conductor |
50796 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
deg |
1290240 |
Modular degree for the optimal curve |
Δ |
-4.6462714738564E+20 |
Discriminant |
Eigenvalues |
2- 3- 1 4 -3 -2 17- 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-726807,-1064145202] |
[a1,a2,a3,a4,a6] |
Generators |
[2638:124002:1] |
Generators of the group modulo torsion |
j |
-227516827224817744/2489643065123649 |
j-invariant |
L |
7.2960230718179 |
L(r)(E,1)/r! |
Ω |
0.070781503150378 |
Real period |
R |
1.7179683832349 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000009 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
16932a1 |
Quadratic twists by: -3 |