Atkin-Lehner |
2+ 5+ 29+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
8990a |
Isogeny class |
Conductor |
8990 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
5304 |
Modular degree for the optimal curve |
Δ |
-589168640 = -1 · 217 · 5 · 29 · 31 |
Discriminant |
Eigenvalues |
2+ -1 5+ 4 2 6 -4 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,107,1133] |
[a1,a2,a3,a4,a6] |
j |
133511182631/589168640 |
j-invariant |
L |
1.1682396322787 |
L(r)(E,1)/r! |
Ω |
1.1682396322787 |
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 |
71920g1 80910y1 44950l1 |
Quadratic twists by: -4 -3 5 |