Atkin-Lehner |
5+ 7- 79- |
Signs for the Atkin-Lehner involutions |
Class |
96775k |
Isogeny class |
Conductor |
96775 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1612800 |
Modular degree for the optimal curve |
Δ |
155660886376953125 = 511 · 79 · 79 |
Discriminant |
Eigenvalues |
0 -2 5+ 7- -5 -3 0 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-1452033,-673678281] |
[a1,a2,a3,a4,a6] |
Generators |
[-687:312:1] |
Generators of the group modulo torsion |
j |
536971313152/246875 |
j-invariant |
L |
1.9346761744119 |
L(r)(E,1)/r! |
Ω |
0.13753631740214 |
Real period |
R |
1.7583321144115 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999179364 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
19355g1 96775j1 |
Quadratic twists by: 5 -7 |