Atkin-Lehner |
2- 11+ 19+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
123728l |
Isogeny class |
Conductor |
123728 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
Δ |
15653757734912 = 212 · 11 · 193 · 373 |
Discriminant |
Eigenvalues |
2- 2 0 4 11+ -4 3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-11253,421949] |
[a1,a2,a3,a4,a6] |
Generators |
[10812:209087:27] |
Generators of the group modulo torsion |
j |
38477541376000/3821718197 |
j-invariant |
L |
11.843717091508 |
L(r)(E,1)/r! |
Ω |
0.67845595903529 |
Real period |
R |
5.8189564802184 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999944227 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7733d2 |
Quadratic twists by: -4 |