Atkin-Lehner |
3- 7- 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
97461q |
Isogeny class |
Conductor |
97461 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
675840 |
Modular degree for the optimal curve |
Δ |
18263092137381 = 310 · 72 · 135 · 17 |
Discriminant |
Eigenvalues |
-2 3- 2 7- -5 13+ 17- -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-127659,-17554784] |
[a1,a2,a3,a4,a6] |
j |
6441016595550208/511270461 |
j-invariant |
L |
0.50514797814048 |
L(r)(E,1)/r! |
Ω |
0.25257407063167 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
32487c1 97461g1 |
Quadratic twists by: -3 -7 |