Atkin-Lehner |
2- 3- 7+ 103- |
Signs for the Atkin-Lehner involutions |
Class |
12978v |
Isogeny class |
Conductor |
12978 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
7200 |
Modular degree for the optimal curve |
Δ |
-2523974418 = -1 · 2 · 36 · 75 · 103 |
Discriminant |
Eigenvalues |
2- 3- -2 7+ -4 -1 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-131,2517] |
[a1,a2,a3,a4,a6] |
j |
-338608873/3462242 |
j-invariant |
L |
1.2323913113833 |
L(r)(E,1)/r! |
Ω |
1.2323913113833 |
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 |
103824cd1 1442a1 90846dd1 |
Quadratic twists by: -4 -3 -7 |