Atkin-Lehner |
2+ 3- 13- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
77376w |
Isogeny class |
Conductor |
77376 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
20480 |
Modular degree for the optimal curve |
Δ |
-59424768 = -1 · 214 · 32 · 13 · 31 |
Discriminant |
Eigenvalues |
2+ 3- -2 -2 -5 13- 0 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,91,195] |
[a1,a2,a3,a4,a6] |
Generators |
[-2:3:1] |
Generators of the group modulo torsion |
j |
5030912/3627 |
j-invariant |
L |
4.4099326657365 |
L(r)(E,1)/r! |
Ω |
1.2559822387767 |
Real period |
R |
1.7555712681097 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000005514 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
77376bg1 9672a1 |
Quadratic twists by: -4 8 |