Atkin-Lehner |
2- 3+ 11- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
24816l |
Isogeny class |
Conductor |
24816 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
7050240 |
Modular degree for the optimal curve |
Δ |
-1.7844609352928E+26 |
Discriminant |
Eigenvalues |
2- 3+ 0 -2 11- -4 3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,32303512,638797260144] |
[a1,a2,a3,a4,a6] |
Generators |
[-3363985591671465245200037842:-1389601083722922950878383626698:1835080454057412350532743] |
Generators of the group modulo torsion |
j |
910149999888914847380375/43565940803046185238528 |
j-invariant |
L |
3.9869297851352 |
L(r)(E,1)/r! |
Ω |
0.043271069196238 |
Real period |
R |
46.069231234548 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3102c1 99264bu1 74448y1 |
Quadratic twists by: -4 8 -3 |