Atkin-Lehner |
2- 7- 13+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
53872c |
Isogeny class |
Conductor |
53872 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
27648 |
Modular degree for the optimal curve |
Δ |
-56488886272 = -1 · 224 · 7 · 13 · 37 |
Discriminant |
Eigenvalues |
2- 0 2 7- 0 13+ 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,781,-7758] |
[a1,a2,a3,a4,a6] |
Generators |
[3879432:-14370355:373248] |
Generators of the group modulo torsion |
j |
12862247607/13791232 |
j-invariant |
L |
7.2743508074733 |
L(r)(E,1)/r! |
Ω |
0.6037091655696 |
Real period |
R |
12.049429132879 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.00000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6734a1 |
Quadratic twists by: -4 |