Atkin-Lehner |
2+ 3- 5- 7+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
71400bw |
Isogeny class |
Conductor |
71400 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
758400 |
Modular degree for the optimal curve |
Δ |
2981699700000000 = 28 · 3 · 58 · 7 · 175 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ 3 0 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-895833,-326642037] |
[a1,a2,a3,a4,a6] |
j |
795070000000000/29816997 |
j-invariant |
L |
3.1036570189793 |
L(r)(E,1)/r! |
Ω |
0.15518285134477 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
71400co1 |
Quadratic twists by: 5 |