Atkin-Lehner |
2+ 3- 5+ 19- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
80370k |
Isogeny class |
Conductor |
80370 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
56320 |
Modular degree for the optimal curve |
Δ |
29997941760 = 210 · 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,-1125,12181] |
[a1,a2,a3,a4,a6] |
Generators |
[35:104:1] |
Generators of the group modulo torsion |
j |
216108018001/41149440 |
j-invariant |
L |
4.5275060694135 |
L(r)(E,1)/r! |
Ω |
1.1170470133539 |
Real period |
R |
2.0265512620334 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000193 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
26790t1 |
Quadratic twists by: -3 |