Atkin-Lehner |
2- 3- 5- 13- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
23010t |
Isogeny class |
Conductor |
23010 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
33885446400 = 28 · 32 · 52 · 132 · 592 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 -4 13- 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1605,22977] |
[a1,a2,a3,a4,a6] |
Generators |
[-6:183:1] |
Generators of the group modulo torsion |
j |
457262655379921/33885446400 |
j-invariant |
L |
10.278655661198 |
L(r)(E,1)/r! |
Ω |
1.1400030167581 |
Real period |
R |
1.1270425944165 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
69030m2 115050a2 |
Quadratic twists by: -3 5 |