Atkin-Lehner |
2+ 7+ 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
32032d |
Isogeny class |
Conductor |
32032 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
4224 |
Modular degree for the optimal curve |
Δ |
832832 = 26 · 7 · 11 · 132 |
Discriminant |
Eigenvalues |
2+ -2 0 7+ 11- 13- -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-98,340] |
[a1,a2,a3,a4,a6] |
Generators |
[-8:26:1] |
Generators of the group modulo torsion |
j |
1643032000/13013 |
j-invariant |
L |
2.9847578842831 |
L(r)(E,1)/r! |
Ω |
2.834175678168 |
Real period |
R |
1.0531308652724 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
32032g1 64064w2 |
Quadratic twists by: -4 8 |