Atkin-Lehner |
2+ 3- 5+ 7+ 83+ |
Signs for the Atkin-Lehner involutions |
Class |
17430k |
Isogeny class |
Conductor |
17430 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
Δ |
28475199270 = 2 · 310 · 5 · 7 · 832 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ -4 -4 -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-794,-2914] |
[a1,a2,a3,a4,a6] |
Generators |
[-24:61:1] [-6:43:1] |
Generators of the group modulo torsion |
j |
55258451698969/28475199270 |
j-invariant |
L |
5.7412887120313 |
L(r)(E,1)/r! |
Ω |
0.95108628081633 |
Real period |
R |
1.2073118554721 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999989 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
52290cg2 87150cd2 122010n2 |
Quadratic twists by: -3 5 -7 |