Atkin-Lehner |
2- 5+ 7+ 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
77350ba |
Isogeny class |
Conductor |
77350 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
Δ |
-21907067000000 = -1 · 26 · 56 · 73 · 13 · 173 |
Discriminant |
Eigenvalues |
2- -1 5+ 7+ 3 13+ 17- -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,6987,-10469] |
[a1,a2,a3,a4,a6] |
Generators |
[25:412:1] |
Generators of the group modulo torsion |
j |
2414193248375/1402052288 |
j-invariant |
L |
7.1665296545102 |
L(r)(E,1)/r! |
Ω |
0.40230772310518 |
Real period |
R |
0.49482089632053 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001872 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3094b2 |
Quadratic twists by: 5 |