Atkin-Lehner |
11+ 13- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
4147a |
Isogeny class |
Conductor |
4147 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
2496 |
Modular degree for the optimal curve |
Δ |
-1314835379 = -1 · 11 · 132 · 294 |
Discriminant |
Eigenvalues |
0 3 3 2 11+ 13- 0 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,134,1639] |
[a1,a2,a3,a4,a6] |
j |
266095853568/1314835379 |
j-invariant |
L |
4.3887209654622 |
L(r)(E,1)/r! |
Ω |
1.0971802413655 |
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 |
66352o1 37323m1 103675c1 45617c1 |
Quadratic twists by: -4 -3 5 -11 |