Atkin-Lehner |
2- 3- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
21312bx |
Isogeny class |
Conductor |
21312 |
Conductor |
∏ cp |
8 |
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] |
Generators |
[634:589824:1] |
Generators of the group modulo torsion |
j |
-670206957616537490521/6109179936768 |
j-invariant |
L |
1.9202154705085 |
L(r)(E,1)/r! |
Ω |
0.13896032822628 |
Real period |
R |
1.7273054610429 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
21312q1 5328x1 7104o1 |
Quadratic twists by: -4 8 -3 |