Atkin-Lehner |
2- 5- 47- |
Signs for the Atkin-Lehner involutions |
Class |
75200ef |
Isogeny class |
Conductor |
75200 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
86016 |
Modular degree for the optimal curve |
Δ |
6160384000 = 220 · 53 · 47 |
Discriminant |
Eigenvalues |
2- -3 5- 3 -5 1 -6 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-460,400] |
[a1,a2,a3,a4,a6] |
Generators |
[-20:40:1] [-14:64:1] |
Generators of the group modulo torsion |
j |
328509/188 |
j-invariant |
L |
6.9792376871938 |
L(r)(E,1)/r! |
Ω |
1.1490293281895 |
Real period |
R |
0.75925364959159 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999998119 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
75200bn1 18800bt1 75200do1 |
Quadratic twists by: -4 8 5 |