Atkin-Lehner |
2- 3- 7+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
2982h |
Isogeny class |
Conductor |
2982 |
Conductor |
∏ cp |
55 |
Product of Tamagawa factors cp |
deg |
1760 |
Modular degree for the optimal curve |
Δ |
-2817345888 = -1 · 25 · 311 · 7 · 71 |
Discriminant |
Eigenvalues |
2- 3- 0 7+ -2 -4 -6 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-203,2769] |
[a1,a2,a3,a4,a6] |
Generators |
[-14:61:1] |
Generators of the group modulo torsion |
j |
-925434168625/2817345888 |
j-invariant |
L |
5.317142125443 |
L(r)(E,1)/r! |
Ω |
1.2595024900504 |
Real period |
R |
0.07675674493333 |
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 |
23856u1 95424a1 8946e1 74550q1 |
Quadratic twists by: -4 8 -3 5 |