Atkin-Lehner |
2+ 3- 5+ 101+ |
Signs for the Atkin-Lehner involutions |
Class |
121200be |
Isogeny class |
Conductor |
121200 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
239616 |
Modular degree for the optimal curve |
Δ |
5890320000000 = 210 · 36 · 57 · 101 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -4 -2 -4 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-6008,-138012] |
[a1,a2,a3,a4,a6] |
Generators |
[-57:150:1] [118:900:1] |
Generators of the group modulo torsion |
j |
1499221444/368145 |
j-invariant |
L |
12.330580751361 |
L(r)(E,1)/r! |
Ω |
0.5519889440367 |
Real period |
R |
0.93076900099965 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999994059 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
60600u1 24240e1 |
Quadratic twists by: -4 5 |