Atkin-Lehner |
5+ 7- 79- |
Signs for the Atkin-Lehner involutions |
Class |
96775j |
Isogeny class |
Conductor |
96775 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
230400 |
Modular degree for the optimal curve |
Δ |
1323095703125 = 511 · 73 · 79 |
Discriminant |
Eigenvalues |
0 2 5+ 7- -5 3 0 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-29633,1972543] |
[a1,a2,a3,a4,a6] |
Generators |
[97:37:1] |
Generators of the group modulo torsion |
j |
536971313152/246875 |
j-invariant |
L |
6.4446658151298 |
L(r)(E,1)/r! |
Ω |
0.84510026439851 |
Real period |
R |
1.906479642218 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000025284 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
19355k1 96775k1 |
Quadratic twists by: 5 -7 |