Atkin-Lehner |
2+ 5- 17- |
Signs for the Atkin-Lehner involutions |
Class |
6800g |
Isogeny class |
Conductor |
6800 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
3456 |
Modular degree for the optimal curve |
Δ |
-1257728000 = -1 · 211 · 53 · 173 |
Discriminant |
Eigenvalues |
2+ -1 5- -4 -2 5 17- 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-528,5152] |
[a1,a2,a3,a4,a6] |
Generators |
[52:340:1] |
Generators of the group modulo torsion |
j |
-63710026/4913 |
j-invariant |
L |
2.8022260620407 |
L(r)(E,1)/r! |
Ω |
1.5029269457219 |
Real period |
R |
0.077688020421789 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3400g1 27200ct1 61200cj1 6800f1 |
Quadratic twists by: -4 8 -3 5 |