Atkin-Lehner |
2- 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
53312bl |
Isogeny class |
Conductor |
53312 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
1198080 |
Modular degree for the optimal curve |
Δ |
-718060257774927872 = -1 · 244 · 74 · 17 |
Discriminant |
Eigenvalues |
2- 3 2 7+ -5 3 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-97804,-42435568] |
[a1,a2,a3,a4,a6] |
j |
-164384733177/1140850688 |
j-invariant |
L |
6.4712059180396 |
L(r)(E,1)/r! |
Ω |
0.11983714664503 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
53312i1 13328l1 53312cn1 |
Quadratic twists by: -4 8 -7 |