Atkin-Lehner |
3+ 7- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
86247a |
Isogeny class |
Conductor |
86247 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
959040 |
Modular degree for the optimal curve |
Δ |
32529072222762381 = 33 · 73 · 378 |
Discriminant |
Eigenvalues |
2 3+ 2 7- 2 4 3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-151959,21084311] |
[a1,a2,a3,a4,a6] |
j |
4091904/343 |
j-invariant |
L |
8.6549195222376 |
L(r)(E,1)/r! |
Ω |
0.36062164570938 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
86247d1 86247c1 |
Quadratic twists by: -3 37 |