Atkin-Lehner |
2+ 3- 13- 19- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
128934x |
Isogeny class |
Conductor |
128934 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
142848 |
Modular degree for the optimal curve |
Δ |
-232601061888 = -1 · 29 · 37 · 13 · 19 · 292 |
Discriminant |
Eigenvalues |
2+ 3- -2 3 3 13- 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,252,-23216] |
[a1,a2,a3,a4,a6] |
j |
2422300607/319068672 |
j-invariant |
L |
1.876822078116 |
L(r)(E,1)/r! |
Ω |
0.46920551616819 |
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 |
42978p1 |
Quadratic twists by: -3 |