Atkin-Lehner |
2+ 3- 7+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
32634m |
Isogeny class |
Conductor |
32634 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
349440 |
Modular degree for the optimal curve |
Δ |
-309535019021426688 = -1 · 213 · 311 · 78 · 37 |
Discriminant |
Eigenvalues |
2+ 3- 0 7+ 4 1 -3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-65277,27543109] |
[a1,a2,a3,a4,a6] |
Generators |
[-355:2603:1] |
Generators of the group modulo torsion |
j |
-7319748625/73654272 |
j-invariant |
L |
4.2022152603952 |
L(r)(E,1)/r! |
Ω |
0.26112555576645 |
Real period |
R |
2.682116685248 |
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 |
10878w1 32634be1 |
Quadratic twists by: -3 -7 |