Atkin-Lehner |
2- 5- 19- 61- |
Signs for the Atkin-Lehner involutions |
Class |
57950by |
Isogeny class |
Conductor |
57950 |
Conductor |
∏ cp |
198 |
Product of Tamagawa factors cp |
deg |
418176 |
Modular degree for the optimal curve |
Δ |
-118224343531520000 = -1 · 233 · 54 · 192 · 61 |
Discriminant |
Eigenvalues |
2- 1 5- -1 0 -4 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,90962,-12726908] |
[a1,a2,a3,a4,a6] |
Generators |
[1932:84914:1] |
Generators of the group modulo torsion |
j |
133175212518450575/189158949650432 |
j-invariant |
L |
10.332884673004 |
L(r)(E,1)/r! |
Ω |
0.17619319496345 |
Real period |
R |
2.6656907841559 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000012 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
57950s1 |
Quadratic twists by: 5 |