Atkin-Lehner |
2+ 3+ 7- 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
42042g |
Isogeny class |
Conductor |
42042 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
4694457500564832 = 25 · 34 · 78 · 11 · 134 |
Discriminant |
Eigenvalues |
2+ 3+ 0 7- 11+ 13+ 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-81120,8225568] |
[a1,a2,a3,a4,a6] |
Generators |
[-267:3441:1] [-169:4225:1] |
Generators of the group modulo torsion |
j |
501796540869625/39902230368 |
j-invariant |
L |
6.0725590978864 |
L(r)(E,1)/r! |
Ω |
0.42431766473489 |
Real period |
R |
3.5778377867442 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
126126fk2 6006k2 |
Quadratic twists by: -3 -7 |