Atkin-Lehner |
2- 3+ 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
77064r |
Isogeny class |
Conductor |
77064 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
299520 |
Modular degree for the optimal curve |
Δ |
-2035437398422272 = -1 · 28 · 33 · 138 · 192 |
Discriminant |
Eigenvalues |
2- 3+ 0 1 -4 13+ -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,14647,2055741] |
[a1,a2,a3,a4,a6] |
Generators |
[175:3154:1] |
Generators of the group modulo torsion |
j |
1664000/9747 |
j-invariant |
L |
4.7530730914958 |
L(r)(E,1)/r! |
Ω |
0.33652445323459 |
Real period |
R |
3.5310012732986 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000055 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
77064a1 |
Quadratic twists by: 13 |