Atkin-Lehner |
2- 3- 5+ 19+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
104310bt |
Isogeny class |
Conductor |
104310 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
688128 |
Modular degree for the optimal curve |
Δ |
-6843779100000000 = -1 · 28 · 310 · 58 · 19 · 61 |
Discriminant |
Eigenvalues |
2- 3- 5+ -4 0 -2 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-12398,-4012419] |
[a1,a2,a3,a4,a6] |
j |
-289080128689561/9387900000000 |
j-invariant |
L |
1.4651745321478 |
L(r)(E,1)/r! |
Ω |
0.18314679924653 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
34770e1 |
Quadratic twists by: -3 |