Atkin-Lehner |
2- 5+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
2720d |
Isogeny class |
Conductor |
2720 |
Conductor |
∏ cp |
1 |
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] |
j |
-34831225434312/177482125 |
j-invariant |
L |
1.0781140922951 |
L(r)(E,1)/r! |
Ω |
1.0781140922951 |
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 |
2720a1 5440f1 24480t1 13600g1 |
Quadratic twists by: -4 8 -3 5 |