Atkin-Lehner |
2+ 3- 7- 19- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
34314k |
Isogeny class |
Conductor |
34314 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
5013504 |
Modular degree for the optimal curve |
Δ |
2.5751345625764E+19 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- 4 6 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-124932312,-537487841114] |
[a1,a2,a3,a4,a6] |
j |
215649292903217412095327773177/25751345625764462592 |
j-invariant |
L |
2.8900864771863 |
L(r)(E,1)/r! |
Ω |
0.045157601205903 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
16 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
102942br1 |
Quadratic twists by: -3 |