Atkin-Lehner |
2- 59- |
Signs for the Atkin-Lehner involutions |
Class |
55696r |
Isogeny class |
Conductor |
55696 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
334080 |
Modular degree for the optimal curve |
Δ |
-40774065927274496 = -1 · 214 · 597 |
Discriminant |
Eigenvalues |
2- 1 -3 1 -2 2 -2 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,26688,9578036] |
[a1,a2,a3,a4,a6] |
Generators |
[4062:111392:27] |
Generators of the group modulo torsion |
j |
12167/236 |
j-invariant |
L |
5.0928066554097 |
L(r)(E,1)/r! |
Ω |
0.27069250834814 |
Real period |
R |
2.3517489855979 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000149 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6962j1 944i1 |
Quadratic twists by: -4 -59 |