Atkin-Lehner |
2+ 3- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
88200cq |
Isogeny class |
Conductor |
88200 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
268800 |
Modular degree for the optimal curve |
Δ |
-277766496000000 = -1 · 211 · 311 · 56 · 72 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- -3 4 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,8925,-733250] |
[a1,a2,a3,a4,a6] |
Generators |
[8066:724464:1] |
Generators of the group modulo torsion |
j |
68782/243 |
j-invariant |
L |
7.3073438750508 |
L(r)(E,1)/r! |
Ω |
0.27974846871286 |
Real period |
R |
6.5302804963924 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999979825 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
29400ee1 3528v1 88200bj1 |
Quadratic twists by: -3 5 -7 |