Atkin-Lehner |
2+ 13+ 19- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
45448b |
Isogeny class |
Conductor |
45448 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
97280 |
Modular degree for the optimal curve |
Δ |
-56669626034944 = -1 · 28 · 132 · 195 · 232 |
Discriminant |
Eigenvalues |
2+ -2 -1 -3 -3 13+ -1 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-7561,439323] |
[a1,a2,a3,a4,a6] |
Generators |
[103:-874:1] [-67:806:1] |
Generators of the group modulo torsion |
j |
-186757864152064/221365726699 |
j-invariant |
L |
5.4257039165163 |
L(r)(E,1)/r! |
Ω |
0.56801618292449 |
Real period |
R |
0.11940029350443 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
90896a1 |
Quadratic twists by: -4 |