Atkin-Lehner |
2+ 7+ 13- 101+ |
Signs for the Atkin-Lehner involutions |
Class |
18382c |
Isogeny class |
Conductor |
18382 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
44800 |
Modular degree for the optimal curve |
Δ |
-470407438592 = -1 · 28 · 72 · 135 · 101 |
Discriminant |
Eigenvalues |
2+ -3 0 7+ 2 13- 1 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,1883,-10475] |
[a1,a2,a3,a4,a6] |
Generators |
[46:159:8] [42:355:1] |
Generators of the group modulo torsion |
j |
738150521484375/470407438592 |
j-invariant |
L |
3.6368101036143 |
L(r)(E,1)/r! |
Ω |
0.53634583726064 |
Real period |
R |
0.33903592150434 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
128674g1 |
Quadratic twists by: -7 |