Atkin-Lehner |
3- 5+ 13- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
39195g |
Isogeny class |
Conductor |
39195 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
7424 |
Modular degree for the optimal curve |
Δ |
28573155 = 38 · 5 · 13 · 67 |
Discriminant |
Eigenvalues |
-1 3- 5+ -1 0 13- 0 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-113,-354] |
[a1,a2,a3,a4,a6] |
Generators |
[-4:6:1] |
Generators of the group modulo torsion |
j |
217081801/39195 |
j-invariant |
L |
2.9947746900864 |
L(r)(E,1)/r! |
Ω |
1.4835080873759 |
Real period |
R |
1.0093557007108 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999982 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13065i1 |
Quadratic twists by: -3 |