Atkin-Lehner |
2+ 5- 7- 11+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
123970l |
Isogeny class |
Conductor |
123970 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
58135150390625000 = 23 · 512 · 76 · 11 · 23 |
Discriminant |
Eigenvalues |
2+ 0 5- 7- 11+ -2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-544889,154515045] |
[a1,a2,a3,a4,a6] |
Generators |
[-649:15637:1] [-481:17709:1] |
Generators of the group modulo torsion |
j |
152075776363995609/494140625000 |
j-invariant |
L |
9.0292449345858 |
L(r)(E,1)/r! |
Ω |
0.35341956662852 |
Real period |
R |
2.1290192997183 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999951086 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2530a3 |
Quadratic twists by: -7 |