Atkin-Lehner |
2- 3- 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
31200bx |
Isogeny class |
Conductor |
31200 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
Δ |
2628288000000 = 212 · 35 · 56 · 132 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 4 13+ 6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-32833,-2299537] |
[a1,a2,a3,a4,a6] |
Generators |
[-103:12:1] |
Generators of the group modulo torsion |
j |
61162984000/41067 |
j-invariant |
L |
7.1172148411923 |
L(r)(E,1)/r! |
Ω |
0.35468131847363 |
Real period |
R |
2.0066506101368 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
31200bg2 62400fa1 93600ba2 1248b2 |
Quadratic twists by: -4 8 -3 5 |