Atkin-Lehner |
2+ 3+ 5- 23- |
Signs for the Atkin-Lehner involutions |
Class |
79350u |
Isogeny class |
Conductor |
79350 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
1685376 |
Modular degree for the optimal curve |
Δ |
-1713242659749120000 = -1 · 211 · 314 · 54 · 234 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -2 3 4 3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-740875,-253710275] |
[a1,a2,a3,a4,a6] |
Generators |
[1885:70135:1] |
Generators of the group modulo torsion |
j |
-257139080970025/9795520512 |
j-invariant |
L |
4.1779730577251 |
L(r)(E,1)/r! |
Ω |
0.081182739906915 |
Real period |
R |
2.8591005254062 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998399 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
79350de1 79350s1 |
Quadratic twists by: 5 -23 |