Atkin-Lehner |
2+ 3- 13- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
77376u |
Isogeny class |
Conductor |
77376 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
Δ |
-1971925906410749952 = -1 · 214 · 33 · 136 · 314 |
Discriminant |
Eigenvalues |
2+ 3- 0 -4 2 13- -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2814513,-1819604241] |
[a1,a2,a3,a4,a6] |
Generators |
[16965:2198508:1] |
Generators of the group modulo torsion |
j |
-150492100544118466000/120356805811203 |
j-invariant |
L |
6.536707098223 |
L(r)(E,1)/r! |
Ω |
0.058277095980026 |
Real period |
R |
6.2314428686732 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000005342 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
77376bf2 9672g2 |
Quadratic twists by: -4 8 |