Atkin-Lehner |
2+ 3+ 7+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
4998c |
Isogeny class |
Conductor |
4998 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
5040 |
Modular degree for the optimal curve |
Δ |
-39984659736 = -1 · 23 · 3 · 78 · 172 |
Discriminant |
Eigenvalues |
2+ 3+ 1 7+ 3 6 17- -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,808,4152] |
[a1,a2,a3,a4,a6] |
j |
10100279/6936 |
j-invariant |
L |
1.4492837201594 |
L(r)(E,1)/r! |
Ω |
0.72464186007971 |
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 |
39984cu1 14994bx1 124950ha1 4998o1 |
Quadratic twists by: -4 -3 5 -7 |