Atkin-Lehner |
3+ 5+ 41- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
79335a |
Isogeny class |
Conductor |
79335 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
240000 |
Modular degree for the optimal curve |
Δ |
-490285484920845 = -1 · 39 · 5 · 415 · 43 |
Discriminant |
Eigenvalues |
-1 3+ 5+ -1 -4 2 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,11122,962146] |
[a1,a2,a3,a4,a6] |
Generators |
[-22:851:1] [13:1046:1] |
Generators of the group modulo torsion |
j |
7730680042917/24909083215 |
j-invariant |
L |
6.4881892251184 |
L(r)(E,1)/r! |
Ω |
0.37042461143709 |
Real period |
R |
1.7515545741025 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999998313 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
79335b1 |
Quadratic twists by: -3 |