Atkin-Lehner |
3+ 5+ 13+ 83- |
Signs for the Atkin-Lehner involutions |
Class |
80925b |
Isogeny class |
Conductor |
80925 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
763776 |
Modular degree for the optimal curve |
Δ |
-816458413341796875 = -1 · 318 · 59 · 13 · 83 |
Discriminant |
Eigenvalues |
0 3+ 5+ 1 0 13+ 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-236133,-61893457] |
[a1,a2,a3,a4,a6] |
j |
-93191344935141376/52253338453875 |
j-invariant |
L |
0.84435109423476 |
L(r)(E,1)/r! |
Ω |
0.10554387969011 |
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 |
16185g1 |
Quadratic twists by: 5 |