Atkin-Lehner |
2- 5+ 11+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
64900c |
Isogeny class |
Conductor |
64900 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
276480 |
Modular degree for the optimal curve |
Δ |
329063281250000 = 24 · 511 · 112 · 592 |
Discriminant |
Eigenvalues |
2- 2 5+ 4 11+ 2 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-20633,-727738] |
[a1,a2,a3,a4,a6] |
Generators |
[-25554:45017:216] |
Generators of the group modulo torsion |
j |
3885902381056/1316253125 |
j-invariant |
L |
10.74315681848 |
L(r)(E,1)/r! |
Ω |
0.40926144337422 |
Real period |
R |
6.5625268346354 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000354 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12980g1 |
Quadratic twists by: 5 |