Atkin-Lehner |
2+ 3- 7- 13- 31- |
Signs for the Atkin-Lehner involutions |
Class |
50778p |
Isogeny class |
Conductor |
50778 |
Conductor |
∏ cp |
140 |
Product of Tamagawa factors cp |
deg |
4193280 |
Modular degree for the optimal curve |
Δ |
-1.815748861635E+22 |
Discriminant |
Eigenvalues |
2+ 3- 1 7- -1 13- -7 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-9234909,12600348421] |
[a1,a2,a3,a4,a6] |
Generators |
[3641:163208:1] |
Generators of the group modulo torsion |
j |
-119479685606967972516049/24907391791975440384 |
j-invariant |
L |
4.6361781512657 |
L(r)(E,1)/r! |
Ω |
0.11741245574224 |
Real period |
R |
0.28204467757629 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000002 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
16926be1 |
Quadratic twists by: -3 |