Atkin-Lehner |
2+ 5- 17- 53- |
Signs for the Atkin-Lehner involutions |
Class |
36040a |
Isogeny class |
Conductor |
36040 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
19968 |
Modular degree for the optimal curve |
Δ |
1153280 = 28 · 5 · 17 · 53 |
Discriminant |
Eigenvalues |
2+ 2 5- 4 6 -2 17- -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1500,-21868] |
[a1,a2,a3,a4,a6] |
j |
1458972216016/4505 |
j-invariant |
L |
6.1368100727402 |
L(r)(E,1)/r! |
Ω |
0.76710125909655 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
16 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
72080c1 |
Quadratic twists by: -4 |