Atkin-Lehner |
2+ 3+ 5+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
99960d |
Isogeny class |
Conductor |
99960 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
4644864 |
Modular degree for the optimal curve |
Δ |
6376303707275250000 = 24 · 37 · 56 · 79 · 172 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- -2 -4 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-12287011,-16572900560] |
[a1,a2,a3,a4,a6] |
j |
108981872598107416576/3387355453125 |
j-invariant |
L |
0.32255142067674 |
L(r)(E,1)/r! |
Ω |
0.080637824002442 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14280ba1 |
Quadratic twists by: -7 |