Atkin-Lehner |
2+ 3+ 7- 73- |
Signs for the Atkin-Lehner involutions |
Class |
85848f |
Isogeny class |
Conductor |
85848 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-9248628338202624 = -1 · 211 · 3 · 710 · 732 |
Discriminant |
Eigenvalues |
2+ 3+ 2 7- 0 4 0 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-52152,6530700] |
[a1,a2,a3,a4,a6] |
Generators |
[13642:558475:8] |
Generators of the group modulo torsion |
j |
-65106860114/38384787 |
j-invariant |
L |
6.7440641432548 |
L(r)(E,1)/r! |
Ω |
0.3802249133507 |
Real period |
R |
8.8685195370803 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999973075 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12264b2 |
Quadratic twists by: -7 |