Atkin-Lehner |
2- 3- 5- 13- 37- |
Signs for the Atkin-Lehner involutions |
Class |
115440dh |
Isogeny class |
Conductor |
115440 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
829440 |
Modular degree for the optimal curve |
Δ |
11082240000000000 = 218 · 32 · 510 · 13 · 37 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 -2 13- 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-400160,-97433100] |
[a1,a2,a3,a4,a6] |
j |
1730078753010884641/2705625000000 |
j-invariant |
L |
3.7967487844462 |
L(r)(E,1)/r! |
Ω |
0.1898374261248 |
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 |
14430be1 |
Quadratic twists by: -4 |