Atkin-Lehner |
3+ 5+ 13+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
39195a |
Isogeny class |
Conductor |
39195 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
97536 |
Modular degree for the optimal curve |
Δ |
-25781243451795 = -1 · 39 · 5 · 13 · 674 |
Discriminant |
Eigenvalues |
0 3+ 5+ -3 -5 13+ -7 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-10638,487883] |
[a1,a2,a3,a4,a6] |
Generators |
[-81:904:1] [162:4235:8] |
Generators of the group modulo torsion |
j |
-6764136726528/1309822865 |
j-invariant |
L |
6.2037937576464 |
L(r)(E,1)/r! |
Ω |
0.64258194635624 |
Real period |
R |
1.206809845971 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999985 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
39195b1 |
Quadratic twists by: -3 |