Atkin-Lehner |
2+ 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
122018n |
Isogeny class |
Conductor |
122018 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
622080 |
Modular degree for the optimal curve |
Δ |
-45923554462864 = -1 · 24 · 132 · 198 |
Discriminant |
Eigenvalues |
2+ -2 3 0 6 13+ 7 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-17697,961508] |
[a1,a2,a3,a4,a6] |
j |
-77086633/5776 |
j-invariant |
L |
2.5063778805362 |
L(r)(E,1)/r! |
Ω |
0.62659487717869 |
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 |
122018bg1 6422g1 |
Quadratic twists by: 13 -19 |