Atkin-Lehner |
2- 3+ 13+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
77376bc |
Isogeny class |
Conductor |
77376 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-1995681792 = -1 · 212 · 3 · 132 · 312 |
Discriminant |
Eigenvalues |
2- 3+ 4 0 2 13+ 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-521,-4887] |
[a1,a2,a3,a4,a6] |
Generators |
[628665:8488916:3375] |
Generators of the group modulo torsion |
j |
-3825694144/487227 |
j-invariant |
L |
8.235228431563 |
L(r)(E,1)/r! |
Ω |
0.49603373791033 |
Real period |
R |
8.3010769251561 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999794 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
77376bl2 38688f1 |
Quadratic twists by: -4 8 |