Atkin-Lehner |
2- 3- 5+ 7- 29- |
Signs for the Atkin-Lehner involutions |
Class |
85260t |
Isogeny class |
Conductor |
85260 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
22118400 |
Modular degree for the optimal curve |
Δ |
4.5591634330987E+25 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- -2 2 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-175156641,-831069373716] |
[a1,a2,a3,a4,a6] |
Generators |
[92888831259180:-74620252094197467:143877824] |
Generators of the group modulo torsion |
j |
315715072605491907936256/24220156105761328125 |
j-invariant |
L |
8.1605776048293 |
L(r)(E,1)/r! |
Ω |
0.041701028008635 |
Real period |
R |
16.307706697043 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000085 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12180f1 |
Quadratic twists by: -7 |