Atkin-Lehner |
2- 5+ 37- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
112850o |
Isogeny class |
Conductor |
112850 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
268900390625000 = 23 · 512 · 37 · 612 |
Discriminant |
Eigenvalues |
2- -2 5+ 0 6 -2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-43438,3390492] |
[a1,a2,a3,a4,a6] |
Generators |
[822:22464:1] |
Generators of the group modulo torsion |
j |
580114570930201/17209625000 |
j-invariant |
L |
8.5489167902278 |
L(r)(E,1)/r! |
Ω |
0.54852853657166 |
Real period |
R |
2.5975302537234 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999737683 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
22570b2 |
Quadratic twists by: 5 |