Atkin-Lehner |
2+ 3- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
21312q |
Isogeny class |
Conductor |
21312 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
3815424 |
Modular degree for the optimal curve |
Δ |
-1.1674824668359E+21 |
Discriminant |
Eigenvalues |
2+ 3- -4 3 5 -3 -3 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-105014892,-414216952400] |
[a1,a2,a3,a4,a6] |
j |
-670206957616537490521/6109179936768 |
j-invariant |
L |
1.5091644728786 |
L(r)(E,1)/r! |
Ω |
0.023580694888729 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
21312bx1 666g1 7104i1 |
Quadratic twists by: -4 8 -3 |