Atkin-Lehner |
2+ 3+ 7+ 13- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
12558b |
Isogeny class |
Conductor |
12558 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-3649706424 = -1 · 23 · 36 · 7 · 132 · 232 |
Discriminant |
Eigenvalues |
2+ 3+ 2 7+ -2 13- 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,131,-2795] |
[a1,a2,a3,a4,a6] |
j |
245667233447/3649706424 |
j-invariant |
L |
1.3711704871574 |
L(r)(E,1)/r! |
Ω |
0.68558524357868 |
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 |
100464ch2 37674t2 87906o2 |
Quadratic twists by: -4 -3 -7 |