Atkin-Lehner |
2- 5+ 17- 23- |
Signs for the Atkin-Lehner involutions |
Class |
31280r |
Isogeny class |
Conductor |
31280 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
-26475392000000 = -1 · 213 · 56 · 17 · 233 |
Discriminant |
Eigenvalues |
2- -1 5+ 1 0 -4 17- -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-17936,963136] |
[a1,a2,a3,a4,a6] |
Generators |
[80:184:1] [66:-250:1] |
Generators of the group modulo torsion |
j |
-155799034954129/6463718750 |
j-invariant |
L |
6.8862759608935 |
L(r)(E,1)/r! |
Ω |
0.6628596807714 |
Real period |
R |
0.43286410889157 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999989 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3910k2 125120dd2 |
Quadratic twists by: -4 8 |