Atkin-Lehner |
2+ 3- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
88200cm |
Isogeny class |
Conductor |
88200 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
221184 |
Modular degree for the optimal curve |
Δ |
-105904006210800 = -1 · 24 · 38 · 52 · 79 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- -3 0 2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3675,502495] |
[a1,a2,a3,a4,a6] |
Generators |
[119:1323:1] |
Generators of the group modulo torsion |
j |
-160000/3087 |
j-invariant |
L |
7.0871560412223 |
L(r)(E,1)/r! |
Ω |
0.50115057789517 |
Real period |
R |
1.7677212086417 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999986957 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
29400ed1 88200il1 12600u1 |
Quadratic twists by: -3 5 -7 |