Atkin-Lehner |
2- 3+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
21312bd |
Isogeny class |
Conductor |
21312 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
15360 |
Modular degree for the optimal curve |
Δ |
-8380219392 = -1 · 223 · 33 · 37 |
Discriminant |
Eigenvalues |
2- 3+ 2 3 -5 3 -3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1644,-26032] |
[a1,a2,a3,a4,a6] |
j |
-69426531/1184 |
j-invariant |
L |
2.9960180540871 |
L(r)(E,1)/r! |
Ω |
0.37450225676088 |
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 |
21312b1 5328n1 21312bf1 |
Quadratic twists by: -4 8 -3 |