Atkin-Lehner |
2+ 3+ 13+ 19+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
34086a |
Isogeny class |
Conductor |
34086 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
2045246305752 = 23 · 38 · 13 · 194 · 23 |
Discriminant |
Eigenvalues |
2+ 3+ -2 0 -4 13+ -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-13366,585244] |
[a1,a2,a3,a4,a6] |
Generators |
[91:319:1] |
Generators of the group modulo torsion |
j |
264106354728554857/2045246305752 |
j-invariant |
L |
1.7220404902569 |
L(r)(E,1)/r! |
Ω |
0.83162693395352 |
Real period |
R |
2.0706886945931 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
102258w4 |
Quadratic twists by: -3 |