Atkin-Lehner |
2- 11+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
120472h |
Isogeny class |
Conductor |
120472 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
415584 |
Modular degree for the optimal curve |
Δ |
-7225085567744 = -1 · 28 · 11 · 376 |
Discriminant |
Eigenvalues |
2- -3 3 -2 11+ 0 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-5476,202612] |
[a1,a2,a3,a4,a6] |
j |
-27648/11 |
j-invariant |
L |
1.3982235454241 |
L(r)(E,1)/r! |
Ω |
0.69911154873571 |
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 |
88a1 |
Quadratic twists by: 37 |