Atkin-Lehner |
3- 5+ 31+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
99975h |
Isogeny class |
Conductor |
99975 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
64512 |
Modular degree for the optimal curve |
Δ |
-29055234375 = -1 · 32 · 57 · 312 · 43 |
Discriminant |
Eigenvalues |
1 3- 5+ 0 4 4 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,749,2273] |
[a1,a2,a3,a4,a6] |
j |
2979767519/1859535 |
j-invariant |
L |
5.8437593493817 |
L(r)(E,1)/r! |
Ω |
0.73046992566775 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
19995d1 |
Quadratic twists by: 5 |