Atkin-Lehner |
2+ 5+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
2720a |
Isogeny class |
Conductor |
2720 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
6240 |
Modular degree for the optimal curve |
Δ |
-90870848000 = -1 · 29 · 53 · 175 |
Discriminant |
Eigenvalues |
2+ 3 5+ -2 -4 -1 17+ -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-5443,-155242] |
[a1,a2,a3,a4,a6] |
Generators |
[21567:606842:27] |
Generators of the group modulo torsion |
j |
-34831225434312/177482125 |
j-invariant |
L |
4.578150750733 |
L(r)(E,1)/r! |
Ω |
0.27782903154928 |
Real period |
R |
8.2391511160723 |
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 |
2720d1 5440g1 24480bj1 13600u1 |
Quadratic twists by: -4 8 -3 5 |