Atkin-Lehner |
2+ 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
122018o |
Isogeny class |
Conductor |
122018 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
967680 |
Modular degree for the optimal curve |
Δ |
-99533831114978 = -1 · 2 · 1310 · 192 |
Discriminant |
Eigenvalues |
2+ 3 0 0 -3 13+ 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-101347,-12402337] |
[a1,a2,a3,a4,a6] |
j |
-66068051625/57122 |
j-invariant |
L |
4.2809905469281 |
L(r)(E,1)/r! |
Ω |
0.13378090107258 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
16 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9386l1 122018z1 |
Quadratic twists by: 13 -19 |