Atkin-Lehner |
2+ 3+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
97344w |
Isogeny class |
Conductor |
97344 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
263061959171162112 = 214 · 39 · 138 |
Discriminant |
Eigenvalues |
2+ 3+ -4 -4 4 13+ 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-16445052,25668517680] |
[a1,a2,a3,a4,a6] |
Generators |
[2548:17576:1] |
Generators of the group modulo torsion |
j |
315978926832/169 |
j-invariant |
L |
3.9282282902863 |
L(r)(E,1)/r! |
Ω |
0.25473538948479 |
Real period |
R |
1.927602352526 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000004954 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
97344ec2 6084d2 97344v2 7488i2 |
Quadratic twists by: -4 8 -3 13 |