Atkin-Lehner |
2+ 3- 7- 79+ |
Signs for the Atkin-Lehner involutions |
Class |
39816d |
Isogeny class |
Conductor |
39816 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
45056 |
Modular degree for the optimal curve |
Δ |
677115355392 = 28 · 314 · 7 · 79 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- -4 -6 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2631,33626] |
[a1,a2,a3,a4,a6] |
Generators |
[-5:216:1] |
Generators of the group modulo torsion |
j |
10792418128/3628233 |
j-invariant |
L |
3.758335248868 |
L(r)(E,1)/r! |
Ω |
0.83531624464635 |
Real period |
R |
2.2496481260566 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000004 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
79632e1 13272e1 |
Quadratic twists by: -4 -3 |