Atkin-Lehner |
2- 3- 5+ 11+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
94050ct |
Isogeny class |
Conductor |
94050 |
Conductor |
∏ cp |
160 |
Product of Tamagawa factors cp |
deg |
6144000 |
Modular degree for the optimal curve |
Δ |
-4.94822057895E+21 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 11+ 6 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-6136880,-6758246253] |
[a1,a2,a3,a4,a6] |
Generators |
[32309:5773545:1] |
Generators of the group modulo torsion |
j |
-2243980016705847601/434411683200000 |
j-invariant |
L |
11.892273340485 |
L(r)(E,1)/r! |
Ω |
0.047463806424599 |
Real period |
R |
6.2638641023973 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000009618 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
31350f1 18810d1 |
Quadratic twists by: -3 5 |