Atkin-Lehner |
2- 3- 5+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
36600ba |
Isogeny class |
Conductor |
36600 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
110592 |
Modular degree for the optimal curve |
Δ |
202611881250000 = 24 · 312 · 58 · 61 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 0 -6 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-30883,1963238] |
[a1,a2,a3,a4,a6] |
Generators |
[23:1125:1] |
Generators of the group modulo torsion |
j |
13030353872896/810447525 |
j-invariant |
L |
6.0305788614374 |
L(r)(E,1)/r! |
Ω |
0.55452133309087 |
Real period |
R |
0.4531369745975 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999996 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
73200d1 109800j1 7320c1 |
Quadratic twists by: -4 -3 5 |