Atkin-Lehner |
2+ 3- 13+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
123786h |
Isogeny class |
Conductor |
123786 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-1997462581947099072 = -1 · 26 · 312 · 136 · 233 |
Discriminant |
Eigenvalues |
2+ 3- 0 0 -6 13+ -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-185157,74639637] |
[a1,a2,a3,a4,a6] |
Generators |
[-14:8795:1] |
Generators of the group modulo torsion |
j |
-79146989750375/225199600704 |
j-invariant |
L |
2.9720330383408 |
L(r)(E,1)/r! |
Ω |
0.23094261086358 |
Real period |
R |
1.6086426597428 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998386312 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
41262v2 123786g2 |
Quadratic twists by: -3 -23 |