Atkin-Lehner |
3+ 19- 53- |
Signs for the Atkin-Lehner involutions |
Class |
57399c |
Isogeny class |
Conductor |
57399 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
259200 |
Modular degree for the optimal curve |
Δ |
610145228708793 = 35 · 197 · 532 |
Discriminant |
Eigenvalues |
-1 3+ 4 0 2 -2 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-28346,1388846] |
[a1,a2,a3,a4,a6] |
Generators |
[18370:72158:125] |
Generators of the group modulo torsion |
j |
53540005609/12969153 |
j-invariant |
L |
4.5409744981905 |
L(r)(E,1)/r! |
Ω |
0.4832095690006 |
Real period |
R |
4.6987630103101 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000208 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3021a1 |
Quadratic twists by: -19 |