Atkin-Lehner |
2- 5- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
75200df |
Isogeny class |
Conductor |
75200 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
107520 |
Modular degree for the optimal curve |
Δ |
1504000000000 = 214 · 59 · 47 |
Discriminant |
Eigenvalues |
2- 1 5- -3 -3 5 4 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-6833,-211537] |
[a1,a2,a3,a4,a6] |
Generators |
[-43:68:1] |
Generators of the group modulo torsion |
j |
1102736/47 |
j-invariant |
L |
6.5863123570678 |
L(r)(E,1)/r! |
Ω |
0.5264816685784 |
Real period |
R |
3.1275126708175 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999998997 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
75200bx1 18800bk1 75200dy1 |
Quadratic twists by: -4 8 5 |