Atkin-Lehner |
2- 3- 5- 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
12870cd |
Isogeny class |
Conductor |
12870 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
1.2050530963674E+19 |
Discriminant |
Eigenvalues |
2- 3- 5- -4 11+ 13- -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-593537,55666149] |
[a1,a2,a3,a4,a6] |
Generators |
[-433:15426:1] |
Generators of the group modulo torsion |
j |
31720417118313330889/16530220800650700 |
j-invariant |
L |
6.6835279693128 |
L(r)(E,1)/r! |
Ω |
0.19846917419114 |
Real period |
R |
2.1047122294153 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
102960ev3 4290e4 64350ba3 |
Quadratic twists by: -4 -3 5 |