Atkin-Lehner |
3- 5- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
38025cf |
Isogeny class |
Conductor |
38025 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
537600 |
Modular degree for the optimal curve |
Δ |
-2.1710374103514E+19 |
Discriminant |
Eigenvalues |
0 3- 5- -1 -1 13+ -1 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-126750,-224849219] |
[a1,a2,a3,a4,a6] |
Generators |
[7825:691312:1] |
Generators of the group modulo torsion |
j |
-32768/3159 |
j-invariant |
L |
4.1841098734513 |
L(r)(E,1)/r! |
Ω |
0.0950644895025 |
Real period |
R |
5.5016729897607 |
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 |
12675q1 38025ce1 2925s1 |
Quadratic twists by: -3 5 13 |