Atkin-Lehner |
2+ 3- 5+ 7- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
61950bb |
Isogeny class |
Conductor |
61950 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
92160 |
Modular degree for the optimal curve |
Δ |
175628250000 = 24 · 35 · 56 · 72 · 59 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 0 0 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-7701,-259952] |
[a1,a2,a3,a4,a6] |
Generators |
[-49:42:1] |
Generators of the group modulo torsion |
j |
3231945186625/11240208 |
j-invariant |
L |
6.3765692257758 |
L(r)(E,1)/r! |
Ω |
0.50975366199848 |
Real period |
R |
1.2509119013881 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000118 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2478d1 |
Quadratic twists by: 5 |