Atkin-Lehner |
2- 3- 5+ 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
75900be |
Isogeny class |
Conductor |
75900 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
82944 |
Modular degree for the optimal curve |
Δ |
46109250000 = 24 · 36 · 56 · 11 · 23 |
Discriminant |
Eigenvalues |
2- 3- 5+ 4 11- -6 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2333,-42912] |
[a1,a2,a3,a4,a6] |
Generators |
[1168:39900:1] |
Generators of the group modulo torsion |
j |
5619712000/184437 |
j-invariant |
L |
9.4198101908762 |
L(r)(E,1)/r! |
Ω |
0.68830179953872 |
Real period |
R |
4.5618604102592 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002122 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3036d1 |
Quadratic twists by: 5 |