Atkin-Lehner |
3- 5- 7- 73- |
Signs for the Atkin-Lehner involutions |
Class |
38325r |
Isogeny class |
Conductor |
38325 |
Conductor |
∏ cp |
150 |
Product of Tamagawa factors cp |
deg |
864000 |
Modular degree for the optimal curve |
Δ |
-3.4384437180229E+19 |
Discriminant |
Eigenvalues |
-1 3- 5- 7- -4 2 -5 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,558362,-231910483] |
[a1,a2,a3,a4,a6] |
Generators |
[2177:-107401:1] |
Generators of the group modulo torsion |
j |
9856918984708531/17604831836277 |
j-invariant |
L |
3.9369578590611 |
L(r)(E,1)/r! |
Ω |
0.10844003317812 |
Real period |
R |
0.24203594334904 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
114975bt1 38325c1 |
Quadratic twists by: -3 5 |