Atkin-Lehner |
2- 7+ 13- 19- |
Signs for the Atkin-Lehner involutions |
Class |
110656bg |
Isogeny class |
Conductor |
110656 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
414720 |
Modular degree for the optimal curve |
Δ |
-1615129664512 = -1 · 210 · 72 · 13 · 195 |
Discriminant |
Eigenvalues |
2- 2 2 7+ 0 13- 3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-250257,-48103447] |
[a1,a2,a3,a4,a6] |
j |
-1692716365696398592/1577275063 |
j-invariant |
L |
4.2690650678218 |
L(r)(E,1)/r! |
Ω |
0.10672663865949 |
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 |
110656u1 27664a1 |
Quadratic twists by: -4 8 |