Atkin-Lehner |
2+ 7- 13+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
113386h |
Isogeny class |
Conductor |
113386 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
319488 |
Modular degree for the optimal curve |
Δ |
-7078234436 = -1 · 22 · 76 · 132 · 89 |
Discriminant |
Eigenvalues |
2+ -3 -3 7- -2 13+ -7 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-3586,83656] |
[a1,a2,a3,a4,a6] |
Generators |
[34:-30:1] [30:-64:1] [-54:370:1] |
Generators of the group modulo torsion |
j |
-43354526697/60164 |
j-invariant |
L |
6.7323837437063 |
L(r)(E,1)/r! |
Ω |
1.3243451034535 |
Real period |
R |
0.317722308854 |
Regulator |
r |
3 |
Rank of the group of rational points |
S |
0.99999999998313 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2314a1 |
Quadratic twists by: -7 |