Atkin-Lehner |
2- 3- 11- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
15312u |
Isogeny class |
Conductor |
15312 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
5760 |
Modular degree for the optimal curve |
Δ |
-344948736 = -1 · 215 · 3 · 112 · 29 |
Discriminant |
Eigenvalues |
2- 3- 1 -3 11- -4 5 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-120,-1068] |
[a1,a2,a3,a4,a6] |
j |
-47045881/84216 |
j-invariant |
L |
2.7199557722612 |
L(r)(E,1)/r! |
Ω |
0.67998894306531 |
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 |
1914a1 61248bp1 45936bn1 |
Quadratic twists by: -4 8 -3 |