Atkin-Lehner |
2- 3+ 5+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
120600bh |
Isogeny class |
Conductor |
120600 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
86016 |
Modular degree for the optimal curve |
Δ |
180900000000 = 28 · 33 · 58 · 67 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 -4 0 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2175,33250] |
[a1,a2,a3,a4,a6] |
Generators |
[-45:200:1] [-15:250:1] |
Generators of the group modulo torsion |
j |
10536048/1675 |
j-invariant |
L |
11.708623082394 |
L(r)(E,1)/r! |
Ω |
0.96874638164376 |
Real period |
R |
1.5107957185719 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999967879 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
120600a1 24120b1 |
Quadratic twists by: -3 5 |