Atkin-Lehner |
2+ 3+ 5+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
28830a |
Isogeny class |
Conductor |
28830 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1607040 |
Modular degree for the optimal curve |
Δ |
-4.6056116021814E+21 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 3 -1 0 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,4047232,-914723328] |
[a1,a2,a3,a4,a6] |
Generators |
[167134090634489:-14619774061749432:23862997439] |
Generators of the group modulo torsion |
j |
8596156121591/5400000000 |
j-invariant |
L |
3.4343093744272 |
L(r)(E,1)/r! |
Ω |
0.079106662399184 |
Real period |
R |
21.706827656925 |
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 |
86490ck1 28830o1 |
Quadratic twists by: -3 -31 |