Atkin-Lehner |
2- 3+ 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
4998bf |
Isogeny class |
Conductor |
4998 |
Conductor |
∏ cp |
26 |
Product of Tamagawa factors cp |
deg |
117936 |
Modular degree for the optimal curve |
Δ |
-1.316313935244E+19 |
Discriminant |
Eigenvalues |
2- 3+ 1 7- -3 2 17- 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,216040,-170134567] |
[a1,a2,a3,a4,a6] |
j |
3947714094191/46599266304 |
j-invariant |
L |
2.8630515186484 |
L(r)(E,1)/r! |
Ω |
0.11011736610186 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
39984dn1 14994v1 124950cu1 4998bi1 |
Quadratic twists by: -4 -3 5 -7 |