Atkin-Lehner |
2- 3- 5+ 7- 67- |
Signs for the Atkin-Lehner involutions |
Class |
98490br |
Isogeny class |
Conductor |
98490 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
31104 |
Modular degree for the optimal curve |
Δ |
-17728200 = -1 · 23 · 33 · 52 · 72 · 67 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 1 -7 0 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-36,216] |
[a1,a2,a3,a4,a6] |
Generators |
[6:12:1] |
Generators of the group modulo torsion |
j |
-105484561/361800 |
j-invariant |
L |
10.845846576439 |
L(r)(E,1)/r! |
Ω |
1.9148860531997 |
Real period |
R |
0.3146646930013 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999993662 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
98490bi1 |
Quadratic twists by: -7 |