Atkin-Lehner |
3+ 5+ 11- 47- |
Signs for the Atkin-Lehner involutions |
Class |
116325h |
Isogeny class |
Conductor |
116325 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
497664 |
Modular degree for the optimal curve |
Δ |
-4390841619140625 = -1 · 33 · 59 · 116 · 47 |
Discriminant |
Eigenvalues |
-1 3+ 5+ -1 11- 3 -3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-9605,3211022] |
[a1,a2,a3,a4,a6] |
Generators |
[804:22285:1] |
Generators of the group modulo torsion |
j |
-232268138523/10407920875 |
j-invariant |
L |
4.0289979843282 |
L(r)(E,1)/r! |
Ω |
0.36242628842242 |
Real period |
R |
0.23159870167353 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000018567 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
116325a1 23265i1 |
Quadratic twists by: -3 5 |