Atkin-Lehner |
2+ 3- 5+ 13- 43- |
Signs for the Atkin-Lehner involutions |
Class |
83850bc |
Isogeny class |
Conductor |
83850 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
276480 |
Modular degree for the optimal curve |
Δ |
2759189062500 = 22 · 35 · 58 · 132 · 43 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -4 0 13- 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-6526,185948] |
[a1,a2,a3,a4,a6] |
Generators |
[-714:2303:8] [-68:596:1] |
Generators of the group modulo torsion |
j |
1966750311889/176588100 |
j-invariant |
L |
9.1387736296661 |
L(r)(E,1)/r! |
Ω |
0.78624192639865 |
Real period |
R |
0.58116804273559 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000034 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16770o1 |
Quadratic twists by: 5 |