Atkin-Lehner |
2- 3- 5- 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
12870cb |
Isogeny class |
Conductor |
12870 |
Conductor |
∏ cp |
324 |
Product of Tamagawa factors cp |
Δ |
-66892367953125000 = -1 · 23 · 311 · 59 · 11 · 133 |
Discriminant |
Eigenvalues |
2- 3- 5- -1 11+ 13- 0 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-4968347,4263775571] |
[a1,a2,a3,a4,a6] |
Generators |
[1281:-236:1] |
Generators of the group modulo torsion |
j |
-18605093748570727251049/91759078125000 |
j-invariant |
L |
7.32232028906 |
L(r)(E,1)/r! |
Ω |
0.30784043845042 |
Real period |
R |
0.66072471450168 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
102960er2 4290l2 64350x2 |
Quadratic twists by: -4 -3 5 |