Atkin-Lehner |
3+ 5+ 37+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
111555a |
Isogeny class |
Conductor |
111555 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
61913025 = 33 · 52 · 372 · 67 |
Discriminant |
Eigenvalues |
-1 3+ 5+ 0 0 0 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-26798,1695172] |
[a1,a2,a3,a4,a6] |
Generators |
[58:548:1] [67:410:1] |
Generators of the group modulo torsion |
j |
78822808125190947/2293075 |
j-invariant |
L |
7.0209926769563 |
L(r)(E,1)/r! |
Ω |
1.4407759101752 |
Real period |
R |
2.4365318126286 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.9999999995634 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
111555d2 |
Quadratic twists by: -3 |