Atkin-Lehner |
2- 5- 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
74800dd |
Isogeny class |
Conductor |
74800 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
30839333888000 = 213 · 53 · 116 · 17 |
Discriminant |
Eigenvalues |
2- -2 5- 0 11- -6 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-12288,447028] |
[a1,a2,a3,a4,a6] |
Generators |
[-126:104:1] [-78:968:1] |
Generators of the group modulo torsion |
j |
400804604117/60233074 |
j-invariant |
L |
7.5681812748309 |
L(r)(E,1)/r! |
Ω |
0.63263233238627 |
Real period |
R |
0.9969167565629 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000051 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9350bg2 74800dk2 |
Quadratic twists by: -4 5 |