Atkin-Lehner |
2+ 3+ 5- 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
95550cp |
Isogeny class |
Conductor |
95550 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1161216 |
Modular degree for the optimal curve |
Δ |
-154709918318592000 = -1 · 218 · 32 · 53 · 79 · 13 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- 2 13- -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-102680,22728000] |
[a1,a2,a3,a4,a6] |
j |
-8141222941613/10520100864 |
j-invariant |
L |
1.1717750785061 |
L(r)(E,1)/r! |
Ω |
0.29294383825735 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
95550ko1 13650bo1 |
Quadratic twists by: 5 -7 |