Atkin-Lehner |
2+ 5+ 7- 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
108290j |
Isogeny class |
Conductor |
108290 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
141442333760000 = 29 · 54 · 76 · 13 · 172 |
Discriminant |
Eigenvalues |
2+ -2 5+ 7- -4 13+ 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1739869,883184376] |
[a1,a2,a3,a4,a6] |
Generators |
[768:-72:1] |
Generators of the group modulo torsion |
j |
4950906946375997881/1202240000 |
j-invariant |
L |
2.4438889354697 |
L(r)(E,1)/r! |
Ω |
0.46317138275222 |
Real period |
R |
2.6382124030898 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998445238 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2210a2 |
Quadratic twists by: -7 |