Atkin-Lehner |
2- 5+ 7- 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
123760bc |
Isogeny class |
Conductor |
123760 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
159744 |
Modular degree for the optimal curve |
Δ |
1324981861840 = 24 · 5 · 78 · 132 · 17 |
Discriminant |
Eigenvalues |
2- 0 5+ 7- 6 13+ 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3988,-79557] |
[a1,a2,a3,a4,a6] |
j |
438398619992064/82811366365 |
j-invariant |
L |
2.4345385522778 |
L(r)(E,1)/r! |
Ω |
0.60863495321749 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
30940b1 |
Quadratic twists by: -4 |