Atkin-Lehner |
3+ 5+ 13- 79- |
Signs for the Atkin-Lehner involutions |
Class |
77025c |
Isogeny class |
Conductor |
77025 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
24944304343359375 = 314 · 58 · 132 · 79 |
Discriminant |
Eigenvalues |
1 3+ 5+ 4 0 13- 4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-248525,-47181750] |
[a1,a2,a3,a4,a6] |
Generators |
[-1726047880:-3555536185:6229504] |
Generators of the group modulo torsion |
j |
108646731078617809/1596435477975 |
j-invariant |
L |
8.1588026043574 |
L(r)(E,1)/r! |
Ω |
0.21401455238322 |
Real period |
R |
9.5306633501347 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001447 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15405e2 |
Quadratic twists by: 5 |