Atkin-Lehner |
2- 5- 11- |
Signs for the Atkin-Lehner involutions |
Class |
48400dl |
Isogeny class |
Conductor |
48400 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
2534400 |
Modular degree for the optimal curve |
Δ |
-3.19277809664E+20 |
Discriminant |
Eigenvalues |
2- -3 5- 1 11- 0 -5 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-710875,890106250] |
[a1,a2,a3,a4,a6] |
Generators |
[925:32000:1] [-825:30250:1] |
Generators of the group modulo torsion |
j |
-2803221/22528 |
j-invariant |
L |
6.2005870661145 |
L(r)(E,1)/r! |
Ω |
0.14721157636179 |
Real period |
R |
1.3162575295019 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6050bo1 48400dj1 4400be1 |
Quadratic twists by: -4 5 -11 |