Atkin-Lehner |
5+ 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
39325m |
Isogeny class |
Conductor |
39325 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
967680 |
Modular degree for the optimal curve |
Δ |
-5.2262347030029E+19 |
Discriminant |
Eigenvalues |
-2 0 5+ 0 11- 13- -3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,130075,347349406] |
[a1,a2,a3,a4,a6] |
Generators |
[220:-19663:1] |
Generators of the group modulo torsion |
j |
8792838144/1888046875 |
j-invariant |
L |
2.4640185230808 |
L(r)(E,1)/r! |
Ω |
0.15434997482025 |
Real period |
R |
1.3303201193416 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000007 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7865e1 3575c1 |
Quadratic twists by: 5 -11 |