Atkin-Lehner |
2- 3+ 7- 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
86394cj |
Isogeny class |
Conductor |
86394 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
deg |
552960 |
Modular degree for the optimal curve |
Δ |
5497859119382784 = 28 · 33 · 74 · 117 · 17 |
Discriminant |
Eigenvalues |
2- 3+ -2 7- 11- -2 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-44349,-461229] |
[a1,a2,a3,a4,a6] |
Generators |
[-177:1460:1] |
Generators of the group modulo torsion |
j |
5445273626857/3103398144 |
j-invariant |
L |
6.7616154059223 |
L(r)(E,1)/r! |
Ω |
0.35584990108018 |
Real period |
R |
2.3751641405755 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000014994 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
7854a1 |
Quadratic twists by: -11 |