Atkin-Lehner |
2- 3+ 7- 17+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
98532j |
Isogeny class |
Conductor |
98532 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-19581712146162432 = -1 · 28 · 39 · 7 · 176 · 23 |
Discriminant |
Eigenvalues |
2- 3+ 0 7- -3 -4 17+ -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,62640,2985876] |
[a1,a2,a3,a4,a6] |
Generators |
[-318:5265:8] [7383:171955:27] |
Generators of the group modulo torsion |
j |
5394456576000/3886148609 |
j-invariant |
L |
11.553556253626 |
L(r)(E,1)/r! |
Ω |
0.24497004249447 |
Real period |
R |
11.7907848402 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000207 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
98532k1 |
Quadratic twists by: -3 |