Atkin-Lehner |
2+ 3- 7+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
15162i |
Isogeny class |
Conductor |
15162 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
76608 |
Modular degree for the optimal curve |
Δ |
-1232599071263616 = -1 · 27 · 34 · 7 · 198 |
Discriminant |
Eigenvalues |
2+ 3- 1 7+ 4 -1 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-19863,-2005190] |
[a1,a2,a3,a4,a6] |
j |
-51026761/72576 |
j-invariant |
L |
2.2946449890315 |
L(r)(E,1)/r! |
Ω |
0.19122041575262 |
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 |
121296bz1 45486bc1 106134d1 15162p1 |
Quadratic twists by: -4 -3 -7 -19 |