Atkin-Lehner |
2- 3- 5+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
75690bb |
Isogeny class |
Conductor |
75690 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
153600 |
Modular degree for the optimal curve |
Δ |
4310782031250 = 2 · 38 · 58 · 292 |
Discriminant |
Eigenvalues |
2- 3- 5+ 1 0 4 -1 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-11903,-486763] |
[a1,a2,a3,a4,a6] |
Generators |
[-107556:226039:1728] |
Generators of the group modulo torsion |
j |
304183240801/7031250 |
j-invariant |
L |
10.455942810125 |
L(r)(E,1)/r! |
Ω |
0.45771973383775 |
Real period |
R |
5.7108870556861 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999978004 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
25230j1 75690i1 |
Quadratic twists by: -3 29 |