Atkin-Lehner |
2- 3+ 31- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
7998f |
Isogeny class |
Conductor |
7998 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
4928 |
Modular degree for the optimal curve |
Δ |
-7998 = -1 · 2 · 3 · 31 · 43 |
Discriminant |
Eigenvalues |
2- 3+ -4 -2 2 1 -6 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-1470,21081] |
[a1,a2,a3,a4,a6] |
Generators |
[174:-89:8] |
Generators of the group modulo torsion |
j |
-351312967968481/7998 |
j-invariant |
L |
3.7769802767307 |
L(r)(E,1)/r! |
Ω |
3.0071621341941 |
Real period |
R |
1.2559948909249 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
63984bb1 23994l1 |
Quadratic twists by: -4 -3 |