Atkin-Lehner |
2+ 3- 13+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
77376n |
Isogeny class |
Conductor |
77376 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
134400 |
Modular degree for the optimal curve |
Δ |
-4880793894912 = -1 · 215 · 37 · 133 · 31 |
Discriminant |
Eigenvalues |
2+ 3- 0 1 4 13+ 1 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-9153,-356481] |
[a1,a2,a3,a4,a6] |
j |
-2588282117000/148950009 |
j-invariant |
L |
3.4052973170868 |
L(r)(E,1)/r! |
Ω |
0.24323551851042 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
77376c1 38688a1 |
Quadratic twists by: -4 8 |