Atkin-Lehner |
2+ 3- 13+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
77376p |
Isogeny class |
Conductor |
77376 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
668160 |
Modular degree for the optimal curve |
Δ |
-4349436793847808 = -1 · 217 · 3 · 135 · 313 |
Discriminant |
Eigenvalues |
2+ 3- -4 1 0 13+ 5 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-190945,32207999] |
[a1,a2,a3,a4,a6] |
j |
-5874094542556658/33183569289 |
j-invariant |
L |
0.8784908359739 |
L(r)(E,1)/r! |
Ω |
0.43924539949296 |
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 |
77376bd1 9672b1 |
Quadratic twists by: -4 8 |