Atkin-Lehner |
2+ 3- 5+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
24120g |
Isogeny class |
Conductor |
24120 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
15360 |
Modular degree for the optimal curve |
Δ |
-7814880000 = -1 · 28 · 36 · 54 · 67 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -2 -4 -6 1 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,492,-668] |
[a1,a2,a3,a4,a6] |
Generators |
[2:18:1] [6:50:1] |
Generators of the group modulo torsion |
j |
70575104/41875 |
j-invariant |
L |
6.986483840878 |
L(r)(E,1)/r! |
Ω |
0.76961138337166 |
Real period |
R |
0.56737107777944 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999992 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
48240m1 2680g1 120600bx1 |
Quadratic twists by: -4 -3 5 |