Atkin-Lehner |
2+ 3- 13- 71- |
Signs for the Atkin-Lehner involutions |
Class |
5538i |
Isogeny class |
Conductor |
5538 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
12480 |
Modular degree for the optimal curve |
Δ |
-52260732576 = -1 · 25 · 33 · 132 · 713 |
Discriminant |
Eigenvalues |
2+ 3- -3 5 -3 13- 6 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,695,8492] |
[a1,a2,a3,a4,a6] |
j |
37202839392887/52260732576 |
j-invariant |
L |
1.5189090564054 |
L(r)(E,1)/r! |
Ω |
0.75945452820271 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
44304e1 16614v1 71994bs1 |
Quadratic twists by: -4 -3 13 |