Atkin-Lehner |
3+ 5- 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
59565m |
Isogeny class |
Conductor |
59565 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
2160000 |
Modular degree for the optimal curve |
Δ |
-2.3333194905732E+19 |
Discriminant |
Eigenvalues |
2 3+ 5- -2 11- 1 3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,638850,123822983] |
[a1,a2,a3,a4,a6] |
j |
612911999504384/495966796875 |
j-invariant |
L |
2.7556415488508 |
L(r)(E,1)/r! |
Ω |
0.13778207746728 |
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 |
3135h1 |
Quadratic twists by: -19 |