Atkin-Lehner |
2- 5- 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
67760cc |
Isogeny class |
Conductor |
67760 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
51840 |
Modular degree for the optimal curve |
Δ |
-104946688000 = -1 · 213 · 53 · 7 · 114 |
Discriminant |
Eigenvalues |
2- 2 5- 7+ 11- 2 3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-40,15600] |
[a1,a2,a3,a4,a6] |
j |
-121/1750 |
j-invariant |
L |
5.0834011578197 |
L(r)(E,1)/r! |
Ω |
0.84723353005073 |
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 |
8470o1 67760ck1 |
Quadratic twists by: -4 -11 |