Atkin-Lehner |
2- 3- 7- 11- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
24486o |
Isogeny class |
Conductor |
24486 |
Conductor |
∏ cp |
2592 |
Product of Tamagawa factors cp |
deg |
539136 |
Modular degree for the optimal curve |
Δ |
-5096704405700210688 = -1 · 212 · 36 · 73 · 116 · 532 |
Discriminant |
Eigenvalues |
2- 3- 0 7- 11- -4 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1499708,715071504] |
[a1,a2,a3,a4,a6] |
Generators |
[-1064:33796:1] |
Generators of the group modulo torsion |
j |
-373030081144015770546625/5096704405700210688 |
j-invariant |
L |
10.189085591876 |
L(r)(E,1)/r! |
Ω |
0.24322344205145 |
Real period |
R |
0.58183157211882 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
6 |
Number of elements in the torsion subgroup |
Twists |
73458m1 |
Quadratic twists by: -3 |