Atkin-Lehner |
2- 3+ 5- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
23100p |
Isogeny class |
Conductor |
23100 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
88320 |
Modular degree for the optimal curve |
Δ |
-28824468750000 = -1 · 24 · 32 · 59 · 7 · 114 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 11+ 6 -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-14833,-736838] |
[a1,a2,a3,a4,a6] |
j |
-11550212096/922383 |
j-invariant |
L |
1.2918974693602 |
L(r)(E,1)/r! |
Ω |
0.21531624489338 |
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 |
92400ic1 69300cq1 23100be1 |
Quadratic twists by: -4 -3 5 |