Atkin-Lehner |
5+ 7- 11- 47- |
Signs for the Atkin-Lehner involutions |
Class |
90475f |
Isogeny class |
Conductor |
90475 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
132480 |
Modular degree for the optimal curve |
Δ |
3650992593325 = 52 · 710 · 11 · 47 |
Discriminant |
Eigenvalues |
-1 -1 5+ 7- 11- -3 -6 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-3983,-31824] |
[a1,a2,a3,a4,a6] |
Generators |
[-59:75:1] [-54:198:1] |
Generators of the group modulo torsion |
j |
279525502890265/146039703733 |
j-invariant |
L |
5.6558656755479 |
L(r)(E,1)/r! |
Ω |
0.63665984014821 |
Real period |
R |
0.88836539057587 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999569 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
90475h1 |
Quadratic twists by: 5 |