Atkin-Lehner |
2+ 3+ 5+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
106470i |
Isogeny class |
Conductor |
106470 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
645120 |
Modular degree for the optimal curve |
Δ |
-6051887394543900 = -1 · 22 · 39 · 52 · 72 · 137 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- 4 13+ 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,45345,-454375] |
[a1,a2,a3,a4,a6] |
j |
108531333/63700 |
j-invariant |
L |
1.9990990535121 |
L(r)(E,1)/r! |
Ω |
0.24988740479105 |
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 |
106470dv1 8190be1 |
Quadratic twists by: -3 13 |