Atkin-Lehner |
3- 5+ 13- 67- |
Signs for the Atkin-Lehner involutions |
Class |
39195j |
Isogeny class |
Conductor |
39195 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
134400 |
Modular degree for the optimal curve |
Δ |
-290749710346875 = -1 · 313 · 55 · 13 · 672 |
Discriminant |
Eigenvalues |
0 3- 5+ -5 -3 13- -3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-1218,820548] |
[a1,a2,a3,a4,a6] |
Generators |
[-82:607:1] [-654:4887:8] |
Generators of the group modulo torsion |
j |
-274118311936/398833621875 |
j-invariant |
L |
5.9702421639015 |
L(r)(E,1)/r! |
Ω |
0.44095823049259 |
Real period |
R |
1.6924058082646 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999991 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13065o1 |
Quadratic twists by: -3 |