Atkin-Lehner |
2+ 3+ 5- 13+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
71760f |
Isogeny class |
Conductor |
71760 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
50133330000 = 24 · 36 · 54 · 13 · 232 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -2 4 13+ -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2915,-58650] |
[a1,a2,a3,a4,a6] |
Generators |
[-30:30:1] |
Generators of the group modulo torsion |
j |
171264907503616/3133333125 |
j-invariant |
L |
5.1706781268563 |
L(r)(E,1)/r! |
Ω |
0.65044390819517 |
Real period |
R |
1.9873651139948 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999664 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
35880e1 |
Quadratic twists by: -4 |