Atkin-Lehner |
2- 3+ 7+ 11+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
70224bd |
Isogeny class |
Conductor |
70224 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
38016 |
Modular degree for the optimal curve |
Δ |
1223582976 = 28 · 33 · 7 · 113 · 19 |
Discriminant |
Eigenvalues |
2- 3+ 3 7+ 11+ -4 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-309,-1143] |
[a1,a2,a3,a4,a6] |
j |
12786860032/4779621 |
j-invariant |
L |
2.3488810371593 |
L(r)(E,1)/r! |
Ω |
1.17444051706 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
17556o1 |
Quadratic twists by: -4 |