Atkin-Lehner |
2- 3+ 5- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
20880bo |
Isogeny class |
Conductor |
20880 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
7680 |
Modular degree for the optimal curve |
Δ |
-313200 = -1 · 24 · 33 · 52 · 29 |
Discriminant |
Eigenvalues |
2- 3+ 5- -3 1 -5 -3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2757,55719] |
[a1,a2,a3,a4,a6] |
Generators |
[30:3:1] |
Generators of the group modulo torsion |
j |
-5364759575808/725 |
j-invariant |
L |
4.6014300299732 |
L(r)(E,1)/r! |
Ω |
2.3829156598221 |
Real period |
R |
0.48275208681922 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5220f1 83520dr1 20880bj1 104400cx1 |
Quadratic twists by: -4 8 -3 5 |