Atkin-Lehner |
2+ 3- 5- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
79200cd |
Isogeny class |
Conductor |
79200 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
430080 |
Modular degree for the optimal curve |
Δ |
-28060084800000000 = -1 · 212 · 313 · 58 · 11 |
Discriminant |
Eigenvalues |
2+ 3- 5- 3 11+ 4 -1 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,64500,-5020000] |
[a1,a2,a3,a4,a6] |
Generators |
[266:5564:1] |
Generators of the group modulo torsion |
j |
25442240/24057 |
j-invariant |
L |
7.956635660294 |
L(r)(E,1)/r! |
Ω |
0.20440965236027 |
Real period |
R |
4.8656188491977 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000055 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
79200eq1 26400br1 79200dp1 |
Quadratic twists by: -4 -3 5 |