Atkin-Lehner |
2+ 3- 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
101640ba |
Isogeny class |
Conductor |
101640 |
Conductor |
∏ cp |
120 |
Product of Tamagawa factors cp |
deg |
5990400 |
Modular degree for the optimal curve |
Δ |
1222465145368642560 = 210 · 36 · 5 · 75 · 117 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 11- 0 -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-37274816,-87605808336] |
[a1,a2,a3,a4,a6] |
j |
3157287870431675236/673876665 |
j-invariant |
L |
1.8330185817374 |
L(r)(E,1)/r! |
Ω |
0.061100629152246 |
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 |
9240bc1 |
Quadratic twists by: -11 |