Atkin-Lehner |
2+ 3+ 5- 23- |
Signs for the Atkin-Lehner involutions |
Class |
79350s |
Isogeny class |
Conductor |
79350 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
38763648 |
Modular degree for the optimal curve |
Δ |
-2.5362140020869E+26 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 2 -3 4 -3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-391923150,3082973685300] |
[a1,a2,a3,a4,a6] |
Generators |
[127772693132375186753957517:44552511615101763094825864665:34427107164634552326743] |
Generators of the group modulo torsion |
j |
-257139080970025/9795520512 |
j-invariant |
L |
4.4483270961561 |
L(r)(E,1)/r! |
Ω |
0.054977268713382 |
Real period |
R |
40.45605756942 |
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 |
79350dg1 79350u1 |
Quadratic twists by: 5 -23 |