Atkin-Lehner |
2+ 5- 11- 31- |
Signs for the Atkin-Lehner involutions |
Class |
68200n |
Isogeny class |
Conductor |
68200 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
58140500000000 = 28 · 59 · 112 · 312 |
Discriminant |
Eigenvalues |
2+ -2 5- -2 11- 4 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-77520708,262683015088] |
[a1,a2,a3,a4,a6] |
Generators |
[5084:124:1] [33208:5857500:1] |
Generators of the group modulo torsion |
j |
103040250272527735568/116281 |
j-invariant |
L |
7.4359584653145 |
L(r)(E,1)/r! |
Ω |
0.27870800985277 |
Real period |
R |
6.6700257998049 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999913 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
68200ba2 |
Quadratic twists by: 5 |