Atkin-Lehner |
2- 3- 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
24684j |
Isogeny class |
Conductor |
24684 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
13824 |
Modular degree for the optimal curve |
Δ |
215935632 = 24 · 38 · 112 · 17 |
Discriminant |
Eigenvalues |
2- 3- -4 -4 11- -1 17+ -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-150,9] |
[a1,a2,a3,a4,a6] |
Generators |
[-12:15:1] [-6:27:1] |
Generators of the group modulo torsion |
j |
194081536/111537 |
j-invariant |
L |
6.9019489046195 |
L(r)(E,1)/r! |
Ω |
1.5148571513858 |
Real period |
R |
0.18984047710118 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999977 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
98736cd1 74052v1 24684o1 |
Quadratic twists by: -4 -3 -11 |