Atkin-Lehner |
2- 5- 13- |
Signs for the Atkin-Lehner involutions |
Class |
20800dy |
Isogeny class |
Conductor |
20800 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
23040 |
Modular degree for the optimal curve |
Δ |
1124864000 = 212 · 53 · 133 |
Discriminant |
Eigenvalues |
2- 0 5- 0 -6 13- -4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-14660,683200] |
[a1,a2,a3,a4,a6] |
Generators |
[-126:728:1] [30:520:1] |
Generators of the group modulo torsion |
j |
680543142336/2197 |
j-invariant |
L |
7.1310147944311 |
L(r)(E,1)/r! |
Ω |
1.3500879583293 |
Real period |
R |
0.88031484053035 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999994 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
20800dx1 10400n1 20800dl1 |
Quadratic twists by: -4 8 5 |