Atkin-Lehner |
3+ 7+ 17+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
128877b |
Isogeny class |
Conductor |
128877 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
344736 |
Modular degree for the optimal curve |
Δ |
-33977052762891 = -1 · 3 · 72 · 173 · 196 |
Discriminant |
Eigenvalues |
-2 3+ 1 7+ 1 -1 17+ 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,7100,157740] |
[a1,a2,a3,a4,a6] |
j |
841232384/722211 |
j-invariant |
L |
0.85004940960084 |
L(r)(E,1)/r! |
Ω |
0.42502390391073 |
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 |
357c1 |
Quadratic twists by: -19 |