Atkin-Lehner |
2- 17+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
126514i |
Isogeny class |
Conductor |
126514 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
8403360 |
Modular degree for the optimal curve |
Δ |
6518048641907554 = 2 · 17 · 618 |
Discriminant |
Eigenvalues |
2- -3 1 2 5 -2 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-18825237,31442986347] |
[a1,a2,a3,a4,a6] |
j |
3848631833601/34 |
j-invariant |
L |
3.523256917304 |
L(r)(E,1)/r! |
Ω |
0.29360466036795 |
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 |
126514f1 |
Quadratic twists by: 61 |