Atkin-Lehner |
2- 3- 5- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
12870ce |
Isogeny class |
Conductor |
12870 |
Conductor |
∏ cp |
780 |
Product of Tamagawa factors cp |
deg |
124800 |
Modular degree for the optimal curve |
Δ |
-78468468249600000 = -1 · 213 · 311 · 55 · 113 · 13 |
Discriminant |
Eigenvalues |
2- 3- 5- 1 11- 13+ -4 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,89788,8603111] |
[a1,a2,a3,a4,a6] |
Generators |
[1701:-72131:1] |
Generators of the group modulo torsion |
j |
109813469243970311/107638502400000 |
j-invariant |
L |
7.8380921922539 |
L(r)(E,1)/r! |
Ω |
0.22579713322966 |
Real period |
R |
0.044503825182291 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
102960dz1 4290j1 64350bu1 |
Quadratic twists by: -4 -3 5 |