Atkin-Lehner |
2- 23- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
61364b |
Isogeny class |
Conductor |
61364 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
92400 |
Modular degree for the optimal curve |
Δ |
68688652496 = 24 · 236 · 29 |
Discriminant |
Eigenvalues |
2- 2 2 -4 6 2 -2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-4937,-131290] |
[a1,a2,a3,a4,a6] |
Generators |
[3441767226766:55835184473520:12151136899] |
Generators of the group modulo torsion |
j |
5619712/29 |
j-invariant |
L |
10.325603244779 |
L(r)(E,1)/r! |
Ω |
0.5697198510864 |
Real period |
R |
18.124001165233 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998386 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
116c2 |
Quadratic twists by: -23 |