Atkin-Lehner |
2+ 23- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
77326g |
Isogeny class |
Conductor |
77326 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
322560 |
Modular degree for the optimal curve |
Δ |
1648400174128784 = 24 · 232 · 417 |
Discriminant |
Eigenvalues |
2+ -2 -2 0 0 2 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-52987,-4273290] |
[a1,a2,a3,a4,a6] |
Generators |
[919:-27356:1] [-938:5067:8] |
Generators of the group modulo torsion |
j |
3463512697/347024 |
j-invariant |
L |
5.0893563997396 |
L(r)(E,1)/r! |
Ω |
0.31670319614671 |
Real period |
R |
4.0174495091365 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000262 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1886d1 |
Quadratic twists by: 41 |