Atkin-Lehner |
2- 3+ 7+ |
Signs for the Atkin-Lehner involutions |
Class |
2352j |
Isogeny class |
Conductor |
2352 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
1680 |
Modular degree for the optimal curve |
Δ |
-70837874688 = -1 · 212 · 3 · 78 |
Discriminant |
Eigenvalues |
2- 3+ -2 7+ 2 1 0 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1829,-32115] |
[a1,a2,a3,a4,a6] |
j |
-28672/3 |
j-invariant |
L |
1.0885681530154 |
L(r)(E,1)/r! |
Ω |
0.36285605100512 |
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 |
147b1 9408cm1 7056bm1 58800hu1 |
Quadratic twists by: -4 8 -3 5 |