Atkin-Lehner |
2+ 3- 7+ 13+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
109746d |
Isogeny class |
Conductor |
109746 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
79021894609476 = 22 · 312 · 72 · 132 · 672 |
Discriminant |
Eigenvalues |
2+ 3- 2 7+ -4 13+ -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-141111,-20363063] |
[a1,a2,a3,a4,a6] |
Generators |
[-216:173:1] [512:6179:1] |
Generators of the group modulo torsion |
j |
426265833144671857/108397660644 |
j-invariant |
L |
9.2061759038185 |
L(r)(E,1)/r! |
Ω |
0.24632915692175 |
Real period |
R |
9.3433680564147 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999991676 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
36582g2 |
Quadratic twists by: -3 |