Atkin-Lehner |
2- 3+ 7+ 13- 23- |
Signs for the Atkin-Lehner involutions |
Class |
12558m |
Isogeny class |
Conductor |
12558 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-342062383707408 = -1 · 24 · 3 · 7 · 13 · 238 |
Discriminant |
Eigenvalues |
2- 3+ -2 7+ 4 13- 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,17466,56787] |
[a1,a2,a3,a4,a6] |
j |
589253981301576863/342062383707408 |
j-invariant |
L |
2.5988625958832 |
L(r)(E,1)/r! |
Ω |
0.3248578244854 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
100464cf3 37674e3 87906bs3 |
Quadratic twists by: -4 -3 -7 |