Atkin-Lehner |
2+ 13+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
100048d |
Isogeny class |
Conductor |
100048 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
817152 |
Modular degree for the optimal curve |
Δ |
1305795634793728 = 28 · 1310 · 37 |
Discriminant |
Eigenvalues |
2+ 1 2 -3 -3 13+ -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-691097,-221358253] |
[a1,a2,a3,a4,a6] |
j |
29542094605312/1056757 |
j-invariant |
L |
0.33116618774859 |
L(r)(E,1)/r! |
Ω |
0.16558297549334 |
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 |
50024d1 7696b1 |
Quadratic twists by: -4 13 |