Atkin-Lehner |
2- 3- 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
2394n |
Isogeny class |
Conductor |
2394 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
9216 |
Modular degree for the optimal curve |
Δ |
213741318672 = 24 · 315 · 72 · 19 |
Discriminant |
Eigenvalues |
2- 3- 0 7- -6 -4 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-70205,-7142155] |
[a1,a2,a3,a4,a6] |
Generators |
[897:25066:1] |
Generators of the group modulo torsion |
j |
52492168638015625/293197968 |
j-invariant |
L |
4.4416452724758 |
L(r)(E,1)/r! |
Ω |
0.29329737264603 |
Real period |
R |
1.8929786313822 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
19152bl1 76608ce1 798e1 59850br1 |
Quadratic twists by: -4 8 -3 5 |