Atkin-Lehner |
2+ 7- 19+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
57722i |
Isogeny class |
Conductor |
57722 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
105614616942779392 = 210 · 77 · 194 · 312 |
Discriminant |
Eigenvalues |
2+ 0 -2 7- 2 4 4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1861813,978145461] |
[a1,a2,a3,a4,a6] |
Generators |
[149:26459:1] |
Generators of the group modulo torsion |
j |
6066577897421679513/897709431808 |
j-invariant |
L |
3.866931817734 |
L(r)(E,1)/r! |
Ω |
0.32348985065365 |
Real period |
R |
1.4942245520841 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000415 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8246a2 |
Quadratic twists by: -7 |