Atkin-Lehner |
2- 3- 31+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
52452b |
Isogeny class |
Conductor |
52452 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
48384 |
Modular degree for the optimal curve |
Δ |
-261306632448 = -1 · 28 · 36 · 313 · 47 |
Discriminant |
Eigenvalues |
2- 3- 0 0 4 -1 2 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-8055,279342] |
[a1,a2,a3,a4,a6] |
j |
-309708306000/1400177 |
j-invariant |
L |
2.9612162862744 |
L(r)(E,1)/r! |
Ω |
0.9870720953551 |
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 |
5828c1 |
Quadratic twists by: -3 |