Atkin-Lehner |
2- 3+ 5+ 7- 43- |
Signs for the Atkin-Lehner involutions |
Class |
126420g |
Isogeny class |
Conductor |
126420 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
1105920 |
Modular degree for the optimal curve |
Δ |
-5310638212320000 = -1 · 28 · 38 · 54 · 76 · 43 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 1 5 3 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-227621,-41870079] |
[a1,a2,a3,a4,a6] |
j |
-43304636317696/176326875 |
j-invariant |
L |
2.622235309018 |
L(r)(E,1)/r! |
Ω |
0.10925982224792 |
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 |
2580b1 |
Quadratic twists by: -7 |