Atkin-Lehner |
2- 3- 5+ 13+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
113100m |
Isogeny class |
Conductor |
113100 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
58812000000 = 28 · 3 · 56 · 132 · 29 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 2 13+ 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-11708,483588] |
[a1,a2,a3,a4,a6] |
Generators |
[72:138:1] |
Generators of the group modulo torsion |
j |
44376082000/14703 |
j-invariant |
L |
8.6185226101503 |
L(r)(E,1)/r! |
Ω |
1.089860330415 |
Real period |
R |
2.6359715985865 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999744162 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4524b2 |
Quadratic twists by: 5 |