Atkin-Lehner |
2+ 3- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
5328c |
Isogeny class |
Conductor |
5328 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
960 |
Modular degree for the optimal curve |
Δ |
6905088 = 28 · 36 · 37 |
Discriminant |
Eigenvalues |
2+ 3- 2 -1 1 -6 4 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-84,268] |
[a1,a2,a3,a4,a6] |
j |
351232/37 |
j-invariant |
L |
2.2929788060501 |
L(r)(E,1)/r! |
Ω |
2.2929788060501 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2664f1 21312cj1 592a1 |
Quadratic twists by: -4 8 -3 |