Atkin-Lehner |
2- 3+ 5+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
23850bs |
Isogeny class |
Conductor |
23850 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
82944 |
Modular degree for the optimal curve |
Δ |
-20374980468750 = -1 · 2 · 39 · 510 · 53 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -1 -3 2 -6 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-21980,1278397] |
[a1,a2,a3,a4,a6] |
j |
-3818360547/66250 |
j-invariant |
L |
2.7366441723726 |
L(r)(E,1)/r! |
Ω |
0.6841610430932 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
23850d1 4770e1 |
Quadratic twists by: -3 5 |