Atkin-Lehner |
2+ 7- 11- 31- |
Signs for the Atkin-Lehner involutions |
Class |
4774d |
Isogeny class |
Conductor |
4774 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
6048 |
Modular degree for the optimal curve |
Δ |
-48181805056 = -1 · 218 · 72 · 112 · 31 |
Discriminant |
Eigenvalues |
2+ 2 -2 7- 11- 6 4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1116,17360] |
[a1,a2,a3,a4,a6] |
j |
-153930331718857/48181805056 |
j-invariant |
L |
2.1388618010482 |
L(r)(E,1)/r! |
Ω |
1.0694309005241 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
38192l1 42966bh1 119350bo1 33418q1 |
Quadratic twists by: -4 -3 5 -7 |