Atkin-Lehner |
2- 5- 19+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
117800o |
Isogeny class |
Conductor |
117800 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
693842000000000 = 210 · 59 · 192 · 312 |
Discriminant |
Eigenvalues |
2- -2 5- -2 0 -4 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-27208,-1182912] |
[a1,a2,a3,a4,a6] |
Generators |
[-96:744:1] |
Generators of the group modulo torsion |
j |
1113780308/346921 |
j-invariant |
L |
3.5095122089823 |
L(r)(E,1)/r! |
Ω |
0.38079680193816 |
Real period |
R |
2.3040583755186 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999016301 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
117800i2 |
Quadratic twists by: 5 |