Atkin-Lehner |
3- 5- 11+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
14355f |
Isogeny class |
Conductor |
14355 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
15120 |
Modular degree for the optimal curve |
Δ |
-140693355 = -1 · 36 · 5 · 113 · 29 |
Discriminant |
Eigenvalues |
-2 3- 5- 4 11+ -1 8 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-1197,15950] |
[a1,a2,a3,a4,a6] |
j |
-260182831104/192995 |
j-invariant |
L |
1.8232701357254 |
L(r)(E,1)/r! |
Ω |
1.8232701357254 |
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 |
1595b1 71775bc1 |
Quadratic twists by: -3 5 |