Atkin-Lehner |
2- 3- 5- 19- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
80370cb |
Isogeny class |
Conductor |
80370 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
deg |
115200 |
Modular degree for the optimal curve |
Δ |
-439422975000 = -1 · 23 · 39 · 55 · 19 · 47 |
Discriminant |
Eigenvalues |
2- 3- 5- 2 2 1 -7 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1337,37361] |
[a1,a2,a3,a4,a6] |
Generators |
[81:634:1] |
Generators of the group modulo torsion |
j |
-362314607689/602775000 |
j-invariant |
L |
12.763740593132 |
L(r)(E,1)/r! |
Ω |
0.8422880389153 |
Real period |
R |
0.25256088181772 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001531 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
26790i1 |
Quadratic twists by: -3 |