Atkin-Lehner |
2- 3- 5+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
2760i |
Isogeny class |
Conductor |
2760 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
768 |
Modular degree for the optimal curve |
Δ |
-2384640 = -1 · 28 · 34 · 5 · 23 |
Discriminant |
Eigenvalues |
2- 3- 5+ 3 -6 -2 3 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-201,1035] |
[a1,a2,a3,a4,a6] |
Generators |
[9:-6:1] |
Generators of the group modulo torsion |
j |
-3525581824/9315 |
j-invariant |
L |
3.766002791562 |
L(r)(E,1)/r! |
Ω |
2.5908144767285 |
Real period |
R |
0.18169975240361 |
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 |
5520b1 22080p1 8280n1 13800h1 |
Quadratic twists by: -4 8 -3 5 |