Atkin-Lehner |
2+ 3- 7+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
2982c |
Isogeny class |
Conductor |
2982 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
1008 |
Modular degree for the optimal curve |
Δ |
-39129804 = -1 · 22 · 39 · 7 · 71 |
Discriminant |
Eigenvalues |
2+ 3- -1 7+ 1 3 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-214,1220] |
[a1,a2,a3,a4,a6] |
Generators |
[7:5:1] |
Generators of the group modulo torsion |
j |
-1076575468249/39129804 |
j-invariant |
L |
2.7989179300052 |
L(r)(E,1)/r! |
Ω |
2.0328654915945 |
Real period |
R |
0.076490766948817 |
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 |
23856s1 95424g1 8946q1 74550cj1 |
Quadratic twists by: -4 8 -3 5 |