Atkin-Lehner |
2+ 3- 7+ 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
78078bh |
Isogeny class |
Conductor |
78078 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
502584592279337568 = 25 · 36 · 74 · 11 · 138 |
Discriminant |
Eigenvalues |
2+ 3- 2 7+ 11- 13+ 0 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-256715,-36668266] |
[a1,a2,a3,a4,a6] |
Generators |
[-402:1468:1] |
Generators of the group modulo torsion |
j |
387627787952497/104123571552 |
j-invariant |
L |
7.0600286160691 |
L(r)(E,1)/r! |
Ω |
0.2163571456053 |
Real period |
R |
2.7192802723935 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002888 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6006be2 |
Quadratic twists by: 13 |