Atkin-Lehner |
2- 3- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
2952f |
Isogeny class |
Conductor |
2952 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
576 |
Modular degree for the optimal curve |
Δ |
7651584 = 28 · 36 · 41 |
Discriminant |
Eigenvalues |
2- 3- -2 -2 -2 6 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-111,-430] |
[a1,a2,a3,a4,a6] |
Generators |
[-7:2:1] |
Generators of the group modulo torsion |
j |
810448/41 |
j-invariant |
L |
2.8936346962799 |
L(r)(E,1)/r! |
Ω |
1.4754735183696 |
Real period |
R |
0.98057832290929 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5904e1 23616h1 328b1 73800o1 |
Quadratic twists by: -4 8 -3 5 |