Atkin-Lehner |
2- 31+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
90334l |
Isogeny class |
Conductor |
90334 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
1547520 |
Modular degree for the optimal curve |
Δ |
482313293237035264 = 28 · 318 · 472 |
Discriminant |
Eigenvalues |
2- 1 1 5 5 1 -1 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-317150,-60105532] |
[a1,a2,a3,a4,a6] |
j |
4136417761/565504 |
j-invariant |
L |
9.7441263763893 |
L(r)(E,1)/r! |
Ω |
0.20300263307571 |
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 |
90334t1 |
Quadratic twists by: -31 |