Atkin-Lehner |
2+ 3+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
21312f |
Isogeny class |
Conductor |
21312 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
24576 |
Modular degree for the optimal curve |
Δ |
-190911873024 = -1 · 218 · 39 · 37 |
Discriminant |
Eigenvalues |
2+ 3+ 2 -4 -4 2 -6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,756,19440] |
[a1,a2,a3,a4,a6] |
j |
9261/37 |
j-invariant |
L |
1.4377806470693 |
L(r)(E,1)/r! |
Ω |
0.71889032353464 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
21312bj1 333b1 21312h1 |
Quadratic twists by: -4 8 -3 |