Atkin-Lehner |
3+ 17+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
80937a |
Isogeny class |
Conductor |
80937 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
67584 |
Modular degree for the optimal curve |
Δ |
1562814880173 = 33 · 17 · 237 |
Discriminant |
Eigenvalues |
0 3+ 2 3 0 3 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-3174,33459] |
[a1,a2,a3,a4,a6] |
j |
884736/391 |
j-invariant |
L |
3.0440781541853 |
L(r)(E,1)/r! |
Ω |
0.76101953968869 |
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 |
80937c1 3519b1 |
Quadratic twists by: -3 -23 |