Atkin-Lehner |
2- 3- 7+ 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
74256co |
Isogeny class |
Conductor |
74256 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
508032 |
Modular degree for the optimal curve |
Δ |
-1199100848504832 = -1 · 221 · 37 · 7 · 133 · 17 |
Discriminant |
Eigenvalues |
2- 3- 4 7+ 2 13+ 17- -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,15584,1493492] |
[a1,a2,a3,a4,a6] |
j |
102181603702751/292749230592 |
j-invariant |
L |
4.7886053666171 |
L(r)(E,1)/r! |
Ω |
0.34204324077489 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9282r1 |
Quadratic twists by: -4 |