Atkin-Lehner |
2+ 3- 5- 11+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
13530i |
Isogeny class |
Conductor |
13530 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
116736 |
Modular degree for the optimal curve |
Δ |
-7060475263057920 = -1 · 232 · 36 · 5 · 11 · 41 |
Discriminant |
Eigenvalues |
2+ 3- 5- 4 11+ -2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,12402,-4006592] |
[a1,a2,a3,a4,a6] |
j |
210983858600846759/7060475263057920 |
j-invariant |
L |
2.4254057584488 |
L(r)(E,1)/r! |
Ω |
0.2021171465374 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
108240bn1 40590bk1 67650bu1 |
Quadratic twists by: -4 -3 5 |