Atkin-Lehner |
2- 3+ 5+ 13+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
23010k |
Isogeny class |
Conductor |
23010 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
Δ |
13452861147055200 = 25 · 310 · 52 · 136 · 59 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -2 0 13+ 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-240611,-45183967] |
[a1,a2,a3,a4,a6] |
j |
1540530351368048538289/13452861147055200 |
j-invariant |
L |
2.1567484559828 |
L(r)(E,1)/r! |
Ω |
0.21567484559827 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
69030w2 115050ba2 |
Quadratic twists by: -3 5 |