Atkin-Lehner |
2- 3- 5+ 13- 67- |
Signs for the Atkin-Lehner involutions |
Class |
78390bt |
Isogeny class |
Conductor |
78390 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
202752 |
Modular degree for the optimal curve |
Δ |
4345976875500 = 22 · 310 · 53 · 133 · 67 |
Discriminant |
Eigenvalues |
2- 3- 5+ -3 2 13- 6 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-4253,-35463] |
[a1,a2,a3,a4,a6] |
Generators |
[-25:246:1] |
Generators of the group modulo torsion |
j |
11667736047241/5961559500 |
j-invariant |
L |
8.1449329721856 |
L(r)(E,1)/r! |
Ω |
0.62438499047916 |
Real period |
R |
1.087060747494 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999981513 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
26130i1 |
Quadratic twists by: -3 |