Atkin-Lehner |
2+ 3- 5- 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
19530bh |
Isogeny class |
Conductor |
19530 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
Δ |
120147583500 = 22 · 36 · 53 · 73 · 312 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- -6 2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-8231994,9092933208] |
[a1,a2,a3,a4,a6] |
Generators |
[1669:30:1] |
Generators of the group modulo torsion |
j |
84627468364197487202209/164811500 |
j-invariant |
L |
3.9583840927786 |
L(r)(E,1)/r! |
Ω |
0.48049320384635 |
Real period |
R |
4.1190843711126 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
6 |
Number of elements in the torsion subgroup |
Twists |
2170n4 97650do4 |
Quadratic twists by: -3 5 |