Atkin-Lehner |
2+ 3- 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
109368r |
Isogeny class |
Conductor |
109368 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
442368 |
Modular degree for the optimal curve |
Δ |
-14293438661376 = -1 · 28 · 37 · 77 · 31 |
Discriminant |
Eigenvalues |
2+ 3- 1 7- 0 7 8 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-99372,-12058508] |
[a1,a2,a3,a4,a6] |
j |
-4942652416/651 |
j-invariant |
L |
4.302294195618 |
L(r)(E,1)/r! |
Ω |
0.13444669153054 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
36456bb1 15624e1 |
Quadratic twists by: -3 -7 |