Atkin-Lehner |
2- 7+ 11- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
103334x |
Isogeny class |
Conductor |
103334 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
564936563744616448 = 212 · 73 · 116 · 613 |
Discriminant |
Eigenvalues |
2- 1 0 7+ 11- 4 3 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-338863,-66788039] |
[a1,a2,a3,a4,a6] |
Generators |
[-360:3109:1] |
Generators of the group modulo torsion |
j |
2429070588015625/318891962368 |
j-invariant |
L |
13.071125606273 |
L(r)(E,1)/r! |
Ω |
0.19959078743128 |
Real period |
R |
5.4574686591312 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000121 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
854b2 |
Quadratic twists by: -11 |