Atkin-Lehner |
2- 7- 11+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
65296u |
Isogeny class |
Conductor |
65296 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1056768 |
Modular degree for the optimal curve |
Δ |
-1953613661339648 = -1 · 220 · 74 · 114 · 53 |
Discriminant |
Eigenvalues |
2- -1 -4 7- 11+ 5 5 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1033040,-403793984] |
[a1,a2,a3,a4,a6] |
Generators |
[2514:113498:1] |
Generators of the group modulo torsion |
j |
-29765665614882148561/476956460288 |
j-invariant |
L |
4.1796552483209 |
L(r)(E,1)/r! |
Ω |
0.074875514899754 |
Real period |
R |
3.4888368166198 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999990211 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8162f1 |
Quadratic twists by: -4 |