Atkin-Lehner |
2+ 5+ 13+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
123370b |
Isogeny class |
Conductor |
123370 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
18777107567530 = 2 · 5 · 136 · 733 |
Discriminant |
Eigenvalues |
2+ 1 5+ -5 -3 13+ -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-61689,-5898774] |
[a1,a2,a3,a4,a6] |
Generators |
[-3912:3379:27] |
Generators of the group modulo torsion |
j |
5378691911761/3890170 |
j-invariant |
L |
2.1507015342307 |
L(r)(E,1)/r! |
Ω |
0.30294746339073 |
Real period |
R |
3.5496277842634 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000315167 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
730k2 |
Quadratic twists by: 13 |