Atkin-Lehner |
2- 5- 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
69440dv |
Isogeny class |
Conductor |
69440 |
Conductor |
∏ cp |
44 |
Product of Tamagawa factors cp |
deg |
236544 |
Modular degree for the optimal curve |
Δ |
1388800000000000 = 217 · 511 · 7 · 31 |
Discriminant |
Eigenvalues |
2- -1 5- 7- 3 -1 -4 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-64545,-6030143] |
[a1,a2,a3,a4,a6] |
Generators |
[-131:400:1] |
Generators of the group modulo torsion |
j |
226886329763858/10595703125 |
j-invariant |
L |
5.6455717653654 |
L(r)(E,1)/r! |
Ω |
0.30039168715117 |
Real period |
R |
0.42713715028246 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999995758 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
69440ba1 17360e1 |
Quadratic twists by: -4 8 |