Atkin-Lehner |
2+ 3- 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
72600bi |
Isogeny class |
Conductor |
72600 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
30867678864000000 = 210 · 32 · 56 · 118 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 11- 2 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-97808,-8228112] |
[a1,a2,a3,a4,a6] |
Generators |
[-249612:-2509200:1331] |
Generators of the group modulo torsion |
j |
3650692/1089 |
j-invariant |
L |
8.6606799151133 |
L(r)(E,1)/r! |
Ω |
0.27617867216484 |
Real period |
R |
7.8397436040675 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000435 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
2904k2 6600bb2 |
Quadratic twists by: 5 -11 |