Atkin-Lehner |
2+ 3+ 5- 13- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
97110f |
Isogeny class |
Conductor |
97110 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
145152 |
Modular degree for the optimal curve |
Δ |
4923477000 = 23 · 33 · 53 · 133 · 83 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -1 -6 13- -3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-10194,398700] |
[a1,a2,a3,a4,a6] |
Generators |
[-69:912:1] |
Generators of the group modulo torsion |
j |
4339281248786043/182351000 |
j-invariant |
L |
4.0960441653239 |
L(r)(E,1)/r! |
Ω |
1.284394482438 |
Real period |
R |
1.5945428859438 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999899664 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
97110bn2 |
Quadratic twists by: -3 |