Atkin-Lehner |
7- 31- 61- |
Signs for the Atkin-Lehner involutions |
Class |
92659i |
Isogeny class |
Conductor |
92659 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
163200 |
Modular degree for the optimal curve |
Δ |
-3739124871013 = -1 · 711 · 31 · 61 |
Discriminant |
Eigenvalues |
-1 -2 -2 7- -2 -5 -6 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-3039,-113450] |
[a1,a2,a3,a4,a6] |
Generators |
[186:2308:1] [81:376:1] |
Generators of the group modulo torsion |
j |
-26383748833/31782037 |
j-invariant |
L |
3.5444253778601 |
L(r)(E,1)/r! |
Ω |
0.30735961339658 |
Real period |
R |
2.8829628422962 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999979707 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13237a1 |
Quadratic twists by: -7 |