Atkin-Lehner |
2- 5+ 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
56350bp |
Isogeny class |
Conductor |
56350 |
Conductor |
∏ cp |
224 |
Product of Tamagawa factors cp |
Δ |
3226455353282000000 = 27 · 56 · 78 · 234 |
Discriminant |
Eigenvalues |
2- 2 5+ 7- 4 0 6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-741763,-230514719] |
[a1,a2,a3,a4,a6] |
j |
24553362849625/1755162752 |
j-invariant |
L |
9.1511254528891 |
L(r)(E,1)/r! |
Ω |
0.16341295455356 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2254a2 8050p2 |
Quadratic twists by: 5 -7 |