Atkin-Lehner |
2+ 3- 7- 11- 61- |
Signs for the Atkin-Lehner involutions |
Class |
84546bc |
Isogeny class |
Conductor |
84546 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
125280 |
Modular degree for the optimal curve |
Δ |
1753145856 = 29 · 36 · 7 · 11 · 61 |
Discriminant |
Eigenvalues |
2+ 3- 3 7- 11- -4 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-15048,-706752] |
[a1,a2,a3,a4,a6] |
Generators |
[-88789036680:43065049823:1259712000] |
Generators of the group modulo torsion |
j |
516950268734593/2404864 |
j-invariant |
L |
6.8613985994406 |
L(r)(E,1)/r! |
Ω |
0.43105097069679 |
Real period |
R |
15.917835861381 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9394l1 |
Quadratic twists by: -3 |