Atkin-Lehner |
3+ 5+ 7+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
96075d |
Isogeny class |
Conductor |
96075 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
72192 |
Modular degree for the optimal curve |
Δ |
900703125 = 33 · 57 · 7 · 61 |
Discriminant |
Eigenvalues |
-2 3+ 5+ 7+ -5 1 3 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-675,-6594] |
[a1,a2,a3,a4,a6] |
Generators |
[-16:10:1] [-15:12:1] |
Generators of the group modulo torsion |
j |
80621568/2135 |
j-invariant |
L |
5.5299102542066 |
L(r)(E,1)/r! |
Ω |
0.93815701836115 |
Real period |
R |
0.73680499987111 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999997564 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
96075c1 19215f1 |
Quadratic twists by: -3 5 |