Atkin-Lehner |
2+ 13- 19- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
57304b |
Isogeny class |
Conductor |
57304 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
deg |
288000 |
Modular degree for the optimal curve |
Δ |
-28819705504640752 = -1 · 24 · 135 · 193 · 294 |
Discriminant |
Eigenvalues |
2+ 0 2 -2 -2 13- 5 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,4261,-8167057] |
[a1,a2,a3,a4,a6] |
Generators |
[259:3211:1] |
Generators of the group modulo torsion |
j |
534734656687872/1801231594040047 |
j-invariant |
L |
6.3560031656894 |
L(r)(E,1)/r! |
Ω |
0.17298193176381 |
Real period |
R |
0.61239567054504 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000014 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
114608b1 |
Quadratic twists by: -4 |