Atkin-Lehner |
3+ 5+ 7- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
116865c |
Isogeny class |
Conductor |
116865 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
11612160 |
Modular degree for the optimal curve |
Δ |
-5262105308599125 = -1 · 39 · 53 · 79 · 53 |
Discriminant |
Eigenvalues |
-1 3+ 5+ 7- -3 3 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-466370813,-3876431334758] |
[a1,a2,a3,a4,a6] |
j |
-4844380728835462318587/2272375 |
j-invariant |
L |
1.6243769676225 |
L(r)(E,1)/r! |
Ω |
0.01624376576451 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
25 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
116865k1 16695h1 |
Quadratic twists by: -3 -7 |