Atkin-Lehner |
2- 3- 5- 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
12870cb |
Isogeny class |
Conductor |
12870 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
120960 |
Modular degree for the optimal curve |
Δ |
-45248872867877250 = -1 · 2 · 321 · 53 · 113 · 13 |
Discriminant |
Eigenvalues |
2- 3- 5- -1 11+ 13- 0 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-36662,10594199] |
[a1,a2,a3,a4,a6] |
Generators |
[6846:193403:8] |
Generators of the group modulo torsion |
j |
-7475384530020889/62069784455250 |
j-invariant |
L |
7.32232028906 |
L(r)(E,1)/r! |
Ω |
0.30784043845042 |
Real period |
R |
1.982174143505 |
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 |
102960er1 4290l1 64350x1 |
Quadratic twists by: -4 -3 5 |