Atkin-Lehner |
3+ 5- 13+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
39195b |
Isogeny class |
Conductor |
39195 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
32512 |
Modular degree for the optimal curve |
Δ |
-35365217355 = -1 · 33 · 5 · 13 · 674 |
Discriminant |
Eigenvalues |
0 3+ 5- -3 5 13+ 7 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-1182,-18070] |
[a1,a2,a3,a4,a6] |
Generators |
[94:837:1] |
Generators of the group modulo torsion |
j |
-6764136726528/1309822865 |
j-invariant |
L |
5.1136070097414 |
L(r)(E,1)/r! |
Ω |
0.4028969627466 |
Real period |
R |
1.58651202496 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000005 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
39195a1 |
Quadratic twists by: -3 |