Atkin-Lehner |
3- 5+ 7- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
31605u |
Isogeny class |
Conductor |
31605 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
deg |
1032192 |
Modular degree for the optimal curve |
Δ |
-1118487620279466675 = -1 · 314 · 52 · 76 · 433 |
Discriminant |
Eigenvalues |
2 3- 5+ 7- 5 -1 -5 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-822236,-291724555] |
[a1,a2,a3,a4,a6] |
Generators |
[9242:138911:8] |
Generators of the group modulo torsion |
j |
-522547125460258816/9506987907075 |
j-invariant |
L |
12.965670759812 |
L(r)(E,1)/r! |
Ω |
0.079186596801338 |
Real period |
R |
2.9238513125839 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
94815bm1 645c1 |
Quadratic twists by: -3 -7 |