Atkin-Lehner |
2- 5+ 19- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
57950bo |
Isogeny class |
Conductor |
57950 |
Conductor |
∏ cp |
7 |
Product of Tamagawa factors cp |
deg |
20496 |
Modular degree for the optimal curve |
Δ |
-3708800 = -1 · 27 · 52 · 19 · 61 |
Discriminant |
Eigenvalues |
2- -3 5+ 4 -1 -1 4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,0,-93] |
[a1,a2,a3,a4,a6] |
Generators |
[5:1:1] |
Generators of the group modulo torsion |
j |
135/148352 |
j-invariant |
L |
7.1825181571298 |
L(r)(E,1)/r! |
Ω |
1.1434875539043 |
Real period |
R |
0.89731979938067 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998381 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
57950bc1 |
Quadratic twists by: 5 |