Atkin-Lehner |
2- 3- 7+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
23688s |
Isogeny class |
Conductor |
23688 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
13056 |
Modular degree for the optimal curve |
Δ |
245597184 = 210 · 36 · 7 · 47 |
Discriminant |
Eigenvalues |
2- 3- -2 7+ 6 -6 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1011,12350] |
[a1,a2,a3,a4,a6] |
j |
153091012/329 |
j-invariant |
L |
1.7585768586987 |
L(r)(E,1)/r! |
Ω |
1.7585768586988 |
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 |
47376q1 2632a1 |
Quadratic twists by: -4 -3 |