Atkin-Lehner |
2- 5+ 7+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
115150bj |
Isogeny class |
Conductor |
115150 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
1451520 |
Modular degree for the optimal curve |
Δ |
-169341029375000000 = -1 · 26 · 510 · 78 · 47 |
Discriminant |
Eigenvalues |
2- -1 5+ 7+ -2 4 5 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-31263,19899781] |
[a1,a2,a3,a4,a6] |
j |
-60025/3008 |
j-invariant |
L |
4.8042579081328 |
L(r)(E,1)/r! |
Ω |
0.26690321257307 |
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 |
115150v1 115150cg1 |
Quadratic twists by: 5 -7 |