Atkin-Lehner |
2+ 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
45968f |
Isogeny class |
Conductor |
45968 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
36864 |
Modular degree for the optimal curve |
Δ |
21006272768 = 28 · 136 · 17 |
Discriminant |
Eigenvalues |
2+ 2 2 -2 -6 13+ 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-732,-2848] |
[a1,a2,a3,a4,a6] |
j |
35152/17 |
j-invariant |
L |
1.9265089844188 |
L(r)(E,1)/r! |
Ω |
0.96325449216207 |
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 |
22984e1 272c1 |
Quadratic twists by: -4 13 |