Atkin-Lehner |
2- 3- 37- |
Signs for the Atkin-Lehner involutions |
Class |
5328w |
Isogeny class |
Conductor |
5328 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1440 |
Modular degree for the optimal curve |
Δ |
6905088 = 28 · 36 · 37 |
Discriminant |
Eigenvalues |
2- 3- 4 3 5 0 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-48,-20] |
[a1,a2,a3,a4,a6] |
j |
65536/37 |
j-invariant |
L |
3.9086545762765 |
L(r)(E,1)/r! |
Ω |
1.9543272881383 |
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 |
1332e1 21312bw1 592d1 |
Quadratic twists by: -4 8 -3 |