Atkin-Lehner |
2- 3+ 5- 29- |
Signs for the Atkin-Lehner involutions |
Class |
8700j |
Isogeny class |
Conductor |
8700 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
13728 |
Modular degree for the optimal curve |
Δ |
-1479531744000 = -1 · 28 · 313 · 53 · 29 |
Discriminant |
Eigenvalues |
2- 3+ 5- 2 -1 4 0 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,227,-58583] |
[a1,a2,a3,a4,a6] |
j |
40247296/46235367 |
j-invariant |
L |
2.3746996790365 |
L(r)(E,1)/r! |
Ω |
0.39578327983941 |
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 |
34800ds1 26100bd1 8700s1 |
Quadratic twists by: -4 -3 5 |