Atkin-Lehner |
2+ 7+ 11- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
69454c |
Isogeny class |
Conductor |
69454 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
825600 |
Modular degree for the optimal curve |
Δ |
-214853699246032 = -1 · 24 · 75 · 117 · 41 |
Discriminant |
Eigenvalues |
2+ 2 4 7+ 11- 2 -2 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-234258,43548740] |
[a1,a2,a3,a4,a6] |
j |
-802516169081089/121279312 |
j-invariant |
L |
4.3393785319546 |
L(r)(E,1)/r! |
Ω |
0.54242231543718 |
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 |
6314g1 |
Quadratic twists by: -11 |