Atkin-Lehner |
2- 3- 5- 11+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
66330br |
Isogeny class |
Conductor |
66330 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
9598555254360600 = 23 · 39 · 52 · 112 · 674 |
Discriminant |
Eigenvalues |
2- 3- 5- -4 11+ -6 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-31364042,-67599856591] |
[a1,a2,a3,a4,a6] |
Generators |
[-3233:1621:1] [491679:344495893:1] |
Generators of the group modulo torsion |
j |
4680500016279824859457369/13166742461400 |
j-invariant |
L |
14.166094986695 |
L(r)(E,1)/r! |
Ω |
0.063795720865162 |
Real period |
R |
18.504499981302 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000012 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
22110e4 |
Quadratic twists by: -3 |