Atkin-Lehner |
3- 5+ 29- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
92655c |
Isogeny class |
Conductor |
92655 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
258048 |
Modular degree for the optimal curve |
Δ |
-6121310484375 = -1 · 38 · 56 · 292 · 71 |
Discriminant |
Eigenvalues |
1 3- 5+ 2 -6 -4 6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-10755,448200] |
[a1,a2,a3,a4,a6] |
Generators |
[-210:6855:8] |
Generators of the group modulo torsion |
j |
-188733998936881/8396859375 |
j-invariant |
L |
6.338192044416 |
L(r)(E,1)/r! |
Ω |
0.74809815083592 |
Real period |
R |
2.1181017590666 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000011764 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
30885i1 |
Quadratic twists by: -3 |