Atkin-Lehner |
2+ 3- 5- 17+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
77520x |
Isogeny class |
Conductor |
77520 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
14336 |
Modular degree for the optimal curve |
Δ |
-23566080 = -1 · 28 · 3 · 5 · 17 · 192 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 4 0 17+ 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,60,-132] |
[a1,a2,a3,a4,a6] |
j |
91765424/92055 |
j-invariant |
L |
4.6425859927689 |
L(r)(E,1)/r! |
Ω |
1.1606465011567 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
38760r1 |
Quadratic twists by: -4 |