Atkin-Lehner |
3+ 7- 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
32487c |
Isogeny class |
Conductor |
32487 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
84480 |
Modular degree for the optimal curve |
Δ |
25052252589 = 34 · 72 · 135 · 17 |
Discriminant |
Eigenvalues |
2 3+ -2 7- 5 13+ 17+ -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-14184,654905] |
[a1,a2,a3,a4,a6] |
j |
6441016595550208/511270461 |
j-invariant |
L |
2.2766200915994 |
L(r)(E,1)/r! |
Ω |
1.1383100458013 |
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 |
97461q1 32487k1 |
Quadratic twists by: -3 -7 |