Atkin-Lehner |
2+ 3- 5+ 13- 47- |
Signs for the Atkin-Lehner involutions |
Class |
91650bl |
Isogeny class |
Conductor |
91650 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
299520 |
Modular degree for the optimal curve |
Δ |
-17596800000000 = -1 · 213 · 32 · 58 · 13 · 47 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 4 -6 13- 3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-6026,269948] |
[a1,a2,a3,a4,a6] |
j |
-1548415333009/1126195200 |
j-invariant |
L |
2.5456024751174 |
L(r)(E,1)/r! |
Ω |
0.63640061784191 |
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 |
18330t1 |
Quadratic twists by: 5 |