Atkin-Lehner |
2+ 3- 5+ 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
64350bo |
Isogeny class |
Conductor |
64350 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
589824 |
Modular degree for the optimal curve |
Δ |
-23414527743750000 = -1 · 24 · 39 · 58 · 114 · 13 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -4 11- 13+ 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,4833,7359741] |
[a1,a2,a3,a4,a6] |
Generators |
[34:-2767:1] |
Generators of the group modulo torsion |
j |
1095912791/2055596400 |
j-invariant |
L |
3.9795587235195 |
L(r)(E,1)/r! |
Ω |
0.2976489129858 |
Real period |
R |
0.83562347918312 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999023 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
21450cg1 12870cf1 |
Quadratic twists by: -3 5 |