Atkin-Lehner |
3+ 5- 7- 53- |
Signs for the Atkin-Lehner involutions |
Class |
116865k |
Isogeny class |
Conductor |
116865 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
3870720 |
Modular degree for the optimal curve |
Δ |
-7218251452125 = -1 · 33 · 53 · 79 · 53 |
Discriminant |
Eigenvalues |
1 3+ 5- 7- 3 3 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-51818979,143588803910] |
[a1,a2,a3,a4,a6] |
j |
-4844380728835462318587/2272375 |
j-invariant |
L |
3.7931622050568 |
L(r)(E,1)/r! |
Ω |
0.31609682754242 |
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 |
116865c1 16695d1 |
Quadratic twists by: -3 -7 |