Atkin-Lehner |
2- 5- 7+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
12460d |
Isogeny class |
Conductor |
12460 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
984 |
Modular degree for the optimal curve |
Δ |
-49840 = -1 · 24 · 5 · 7 · 89 |
Discriminant |
Eigenvalues |
2- 2 5- 7+ 5 4 3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-5,-10] |
[a1,a2,a3,a4,a6] |
j |
-1048576/3115 |
j-invariant |
L |
4.3578239827129 |
L(r)(E,1)/r! |
Ω |
1.4526079942376 |
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 |
49840w1 112140e1 62300l1 87220b1 |
Quadratic twists by: -4 -3 5 -7 |