Atkin-Lehner |
2+ 3- 7- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
97608g |
Isogeny class |
Conductor |
97608 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
74395964996462592 = 211 · 312 · 77 · 83 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- 0 2 -6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1226584,-523114768] |
[a1,a2,a3,a4,a6] |
Generators |
[-633790:310869:1000] |
Generators of the group modulo torsion |
j |
847027985875346/308767221 |
j-invariant |
L |
6.8964143948666 |
L(r)(E,1)/r! |
Ω |
0.14346128030985 |
Real period |
R |
8.0119346167128 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000011066 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13944d3 |
Quadratic twists by: -7 |