Atkin-Lehner |
2- 3- 5+ 19- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
122550ce |
Isogeny class |
Conductor |
122550 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
245760 |
Modular degree for the optimal curve |
Δ |
745104000000 = 210 · 3 · 56 · 192 · 43 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 0 2 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-23988,-1431408] |
[a1,a2,a3,a4,a6] |
j |
97698284547193/47686656 |
j-invariant |
L |
7.6726190315167 |
L(r)(E,1)/r! |
Ω |
0.38363098161145 |
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 |
4902d1 |
Quadratic twists by: 5 |