Atkin-Lehner |
5- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
39325s |
Isogeny class |
Conductor |
39325 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
120960 |
Modular degree for the optimal curve |
Δ |
1741665908125 = 54 · 118 · 13 |
Discriminant |
Eigenvalues |
0 1 5- -2 11- 13+ 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-397283,-96515006] |
[a1,a2,a3,a4,a6] |
Generators |
[-9834:109:27] |
Generators of the group modulo torsion |
j |
6263089561600/1573 |
j-invariant |
L |
4.54087355846 |
L(r)(E,1)/r! |
Ω |
0.19016232328792 |
Real period |
R |
3.9798223257777 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000004 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
39325h1 3575g1 |
Quadratic twists by: 5 -11 |