Atkin-Lehner |
2+ 3- 7+ |
Signs for the Atkin-Lehner involutions |
Class |
1176d |
Isogeny class |
Conductor |
1176 |
Conductor |
∏ cp |
5 |
Product of Tamagawa factors cp |
deg |
1680 |
Modular degree for the optimal curve |
Δ |
-2868933924864 = -1 · 211 · 35 · 78 |
Discriminant |
Eigenvalues |
2+ 3- -1 7+ 3 4 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,1944,-73872] |
[a1,a2,a3,a4,a6] |
j |
68782/243 |
j-invariant |
L |
2.0475491326809 |
L(r)(E,1)/r! |
Ω |
0.40950982653618 |
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 |
2352a1 9408b1 3528s1 29400cj1 |
Quadratic twists by: -4 8 -3 5 |