Atkin-Lehner |
2- 3- 5+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
75690bg |
Isogeny class |
Conductor |
75690 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
11136000 |
Modular degree for the optimal curve |
Δ |
-3.219567447921E+23 |
Discriminant |
Eigenvalues |
2- 3- 5+ -4 1 -1 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,15781207,12763603977] |
[a1,a2,a3,a4,a6] |
Generators |
[2107700:384275097:64] |
Generators of the group modulo torsion |
j |
1417218719/1049760 |
j-invariant |
L |
7.4747607842394 |
L(r)(E,1)/r! |
Ω |
0.061582254100311 |
Real period |
R |
12.137848624122 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002972 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
25230f1 75690l1 |
Quadratic twists by: -3 29 |