Atkin-Lehner |
2+ 3- 5+ 19- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
80370l |
Isogeny class |
Conductor |
80370 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1618944 |
Modular degree for the optimal curve |
Δ |
503281948462940160 = 234 · 38 · 5 · 19 · 47 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -2 -2 -4 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1180485,492786261] |
[a1,a2,a3,a4,a6] |
Generators |
[595:584:1] |
Generators of the group modulo torsion |
j |
249561627864887514961/690373043159040 |
j-invariant |
L |
3.4001367705568 |
L(r)(E,1)/r! |
Ω |
0.2950178984209 |
Real period |
R |
5.7625940466033 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001157 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
26790z1 |
Quadratic twists by: -3 |