Atkin-Lehner |
3- 5- 29- 71- |
Signs for the Atkin-Lehner involutions |
Class |
92655m |
Isogeny class |
Conductor |
92655 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
466560 |
Modular degree for the optimal curve |
Δ |
-624444029296875 = -1 · 37 · 59 · 29 · 712 |
Discriminant |
Eigenvalues |
0 3- 5- -4 -3 6 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-166602,-26201498] |
[a1,a2,a3,a4,a6] |
Generators |
[1222:39937:1] |
Generators of the group modulo torsion |
j |
-701514764342493184/856576171875 |
j-invariant |
L |
4.7733057877523 |
L(r)(E,1)/r! |
Ω |
0.11814564388407 |
Real period |
R |
0.56113718217096 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003605 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
30885a1 |
Quadratic twists by: -3 |