Atkin-Lehner |
2- 3- 11+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
124608cz |
Isogeny class |
Conductor |
124608 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
122880 |
Modular degree for the optimal curve |
Δ |
391982874624 = 226 · 32 · 11 · 59 |
Discriminant |
Eigenvalues |
2- 3- -2 -2 11+ -2 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1889,-10209] |
[a1,a2,a3,a4,a6] |
Generators |
[-14:117:1] |
Generators of the group modulo torsion |
j |
2845178713/1495296 |
j-invariant |
L |
5.0293472044148 |
L(r)(E,1)/r! |
Ω |
0.76784408768994 |
Real period |
R |
3.2749794643142 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999333023 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
124608v1 31152s1 |
Quadratic twists by: -4 8 |