Atkin-Lehner |
2+ 5+ 7- 11+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
123970f |
Isogeny class |
Conductor |
123970 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-11162224203072250 = -1 · 2 · 53 · 78 · 114 · 232 |
Discriminant |
Eigenvalues |
2+ 2 5+ 7- 11+ -2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,45447,3473303] |
[a1,a2,a3,a4,a6] |
Generators |
[24357:741712:27] |
Generators of the group modulo torsion |
j |
88234047450359/94877340250 |
j-invariant |
L |
7.2168285147343 |
L(r)(E,1)/r! |
Ω |
0.26777108812266 |
Real period |
R |
6.7378712919149 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000006746 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
17710c2 |
Quadratic twists by: -7 |