Atkin-Lehner |
2+ 5+ 13- 23- |
Signs for the Atkin-Lehner involutions |
Class |
119600g |
Isogeny class |
Conductor |
119600 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
940032 |
Modular degree for the optimal curve |
Δ |
101062000000000 = 210 · 59 · 133 · 23 |
Discriminant |
Eigenvalues |
2+ 3 5+ -5 0 13- 3 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-40075,-3049750] |
[a1,a2,a3,a4,a6] |
Generators |
[-2895:3250:27] |
Generators of the group modulo torsion |
j |
444860988516/6316375 |
j-invariant |
L |
10.610078059436 |
L(r)(E,1)/r! |
Ω |
0.33771824490323 |
Real period |
R |
2.618079372238 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000011424 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
59800h1 23920a1 |
Quadratic twists by: -4 5 |