Atkin-Lehner |
2+ 5+ 17- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
64600d |
Isogeny class |
Conductor |
64600 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
24576 |
Modular degree for the optimal curve |
Δ |
7671250000 = 24 · 57 · 17 · 192 |
Discriminant |
Eigenvalues |
2+ 0 5+ 0 0 -4 17- 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-550,2625] |
[a1,a2,a3,a4,a6] |
Generators |
[-20:75:1] [-4:69:1] |
Generators of the group modulo torsion |
j |
73598976/30685 |
j-invariant |
L |
10.005147525895 |
L(r)(E,1)/r! |
Ω |
1.1922884116405 |
Real period |
R |
4.1957748763721 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999929 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
129200n1 12920i1 |
Quadratic twists by: -4 5 |