Atkin-Lehner |
2- 7- 11- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
14476d |
Isogeny class |
Conductor |
14476 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
deg |
3240 |
Modular degree for the optimal curve |
Δ |
-7006384 = -1 · 24 · 7 · 113 · 47 |
Discriminant |
Eigenvalues |
2- -2 3 7- 11- -4 3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-49,168] |
[a1,a2,a3,a4,a6] |
j |
-829898752/437899 |
j-invariant |
L |
2.1962341400984 |
L(r)(E,1)/r! |
Ω |
2.1962341400984 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
57904k1 101332m1 |
Quadratic twists by: -4 -7 |