Atkin-Lehner |
2- 5+ 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
51520br |
Isogeny class |
Conductor |
51520 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
30720 |
Modular degree for the optimal curve |
Δ |
-18032000000 = -1 · 210 · 56 · 72 · 23 |
Discriminant |
Eigenvalues |
2- -1 5+ 7- -2 -3 -6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,639,1561] |
[a1,a2,a3,a4,a6] |
Generators |
[16:125:1] |
Generators of the group modulo torsion |
j |
28134973184/17609375 |
j-invariant |
L |
3.5425203451585 |
L(r)(E,1)/r! |
Ω |
0.76063258124844 |
Real period |
R |
1.1643336193072 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000019 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
51520h1 12880h1 |
Quadratic twists by: -4 8 |