Atkin-Lehner |
2+ 3- 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
4998u |
Isogeny class |
Conductor |
4998 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
97920 |
Modular degree for the optimal curve |
Δ |
-118960026424049664 = -1 · 217 · 33 · 711 · 17 |
Discriminant |
Eigenvalues |
2+ 3- -1 7- 5 1 17- 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-715279,233372738] |
[a1,a2,a3,a4,a6] |
j |
-344002044213921241/1011143540736 |
j-invariant |
L |
1.9967707295323 |
L(r)(E,1)/r! |
Ω |
0.33279512158872 |
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 |
39984cg1 14994ch1 124950fg1 714c1 |
Quadratic twists by: -4 -3 5 -7 |