Atkin-Lehner |
2- 7- 11+ 79+ |
Signs for the Atkin-Lehner involutions |
Class |
97328z |
Isogeny class |
Conductor |
97328 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
5503475688144896 = 218 · 72 · 11 · 794 |
Discriminant |
Eigenvalues |
2- 2 2 7- 11+ -4 -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-45512,1122800] |
[a1,a2,a3,a4,a6] |
Generators |
[752115258:3166803370:3581577] |
Generators of the group modulo torsion |
j |
2545370865406153/1343621994176 |
j-invariant |
L |
11.284829647452 |
L(r)(E,1)/r! |
Ω |
0.37583379111247 |
Real period |
R |
15.013058845522 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002869 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12166g2 |
Quadratic twists by: -4 |