Atkin-Lehner |
2- 3- 7+ 83- |
Signs for the Atkin-Lehner involutions |
Class |
97608s |
Isogeny class |
Conductor |
97608 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
47616 |
Modular degree for the optimal curve |
Δ |
-4132332288 = -1 · 28 · 34 · 74 · 83 |
Discriminant |
Eigenvalues |
2- 3- 0 7+ -3 -4 -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,327,-1989] |
[a1,a2,a3,a4,a6] |
Generators |
[6:15:1] [9:42:1] |
Generators of the group modulo torsion |
j |
6272000/6723 |
j-invariant |
L |
13.098893036298 |
L(r)(E,1)/r! |
Ω |
0.75073166049346 |
Real period |
R |
0.7270070500566 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999993827 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
97608m1 |
Quadratic twists by: -7 |