Atkin-Lehner |
2+ 3- 5+ 13- 17- |
Signs for the Atkin-Lehner involutions |
Class |
112710bh |
Isogeny class |
Conductor |
112710 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
190080 |
Modular degree for the optimal curve |
Δ |
-1250810496000 = -1 · 210 · 32 · 53 · 13 · 174 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -2 3 13- 17- -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-3619,-99874] |
[a1,a2,a3,a4,a6] |
j |
-62736640489/14976000 |
j-invariant |
L |
1.215759220293 |
L(r)(E,1)/r! |
Ω |
0.30393972023939 |
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 |
112710p1 |
Quadratic twists by: 17 |