Atkin-Lehner |
2+ 3+ 5+ 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
65520a |
Isogeny class |
Conductor |
65520 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
5529600 |
Modular degree for the optimal curve |
Δ |
3.4541268342107E+22 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7+ 0 13+ -8 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-16851483,-25079577318] |
[a1,a2,a3,a4,a6] |
Generators |
[1391487282941:273478186643012:35611289] |
Generators of the group modulo torsion |
j |
26257105115938658412/1713748278480875 |
j-invariant |
L |
4.8046230574205 |
L(r)(E,1)/r! |
Ω |
0.074819660525949 |
Real period |
R |
16.054012487688 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999995583 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
32760d1 65520g1 |
Quadratic twists by: -4 -3 |