Atkin-Lehner |
2- 3+ 7- 71- |
Signs for the Atkin-Lehner involutions |
Class |
83496o |
Isogeny class |
Conductor |
83496 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
98880 |
Modular degree for the optimal curve |
Δ |
-122927486976 = -1 · 211 · 35 · 72 · 712 |
Discriminant |
Eigenvalues |
2- 3+ 1 7- -1 -4 0 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-9760,-368276] |
[a1,a2,a3,a4,a6] |
j |
-1024687950818/1224963 |
j-invariant |
L |
0.48028855563942 |
L(r)(E,1)/r! |
Ω |
0.24014429262071 |
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 |
83496r1 |
Quadratic twists by: -7 |