Atkin-Lehner |
2+ 3+ 5- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
13650s |
Isogeny class |
Conductor |
13650 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
506880 |
Modular degree for the optimal curve |
Δ |
2.83331746152E+20 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- -2 13+ 4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-2778575,-1589302875] |
[a1,a2,a3,a4,a6] |
Generators |
[932038814:107063899921:68921] |
Generators of the group modulo torsion |
j |
1214675547724509317/145065854029824 |
j-invariant |
L |
2.9137645824664 |
L(r)(E,1)/r! |
Ω |
0.11784800737433 |
Real period |
R |
12.362383749142 |
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 |
109200gr1 40950fh1 13650db1 95550fp1 |
Quadratic twists by: -4 -3 5 -7 |