Atkin-Lehner |
2+ 3+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
97344o |
Isogeny class |
Conductor |
97344 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
258048 |
Modular degree for the optimal curve |
Δ |
79045059847104 = 26 · 39 · 137 |
Discriminant |
Eigenvalues |
2+ 3+ -2 0 -2 13+ 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-77571,8304660] |
[a1,a2,a3,a4,a6] |
Generators |
[3986:77293:8] |
Generators of the group modulo torsion |
j |
8489664/13 |
j-invariant |
L |
4.5809342259577 |
L(r)(E,1)/r! |
Ω |
0.60962005952517 |
Real period |
R |
7.5144086110952 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002544 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
97344n1 48672a2 97344f1 7488a1 |
Quadratic twists by: -4 8 -3 13 |