Atkin-Lehner |
2+ 3- 5+ 19+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
34770h |
Isogeny class |
Conductor |
34770 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
217600 |
Modular degree for the optimal curve |
Δ |
-2084998348800000 = -1 · 220 · 32 · 55 · 19 · 612 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -2 4 -2 4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-9689,-2228164] |
[a1,a2,a3,a4,a6] |
j |
-100576413424512649/2084998348800000 |
j-invariant |
L |
1.6037953875611 |
L(r)(E,1)/r! |
Ω |
0.20047442344298 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
104310ca1 |
Quadratic twists by: -3 |