Atkin-Lehner |
2- 5+ 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
92950cd |
Isogeny class |
Conductor |
92950 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
1935360 |
Modular degree for the optimal curve |
Δ |
-560814870687500000 = -1 · 25 · 59 · 11 · 138 |
Discriminant |
Eigenvalues |
2- 1 5+ 1 11- 13+ 5 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-3954688,3026912992] |
[a1,a2,a3,a4,a6] |
Generators |
[222:46364:1] |
Generators of the group modulo torsion |
j |
-90694355177089/7436000 |
j-invariant |
L |
13.90307953151 |
L(r)(E,1)/r! |
Ω |
0.2780178727051 |
Real period |
R |
2.5003931220619 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999997891 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
18590j1 7150b1 |
Quadratic twists by: 5 13 |