Atkin-Lehner |
2- 3- 43- 47- |
Signs for the Atkin-Lehner involutions |
Class |
36378k |
Isogeny class |
Conductor |
36378 |
Conductor |
∏ cp |
140 |
Product of Tamagawa factors cp |
deg |
2007040 |
Modular degree for the optimal curve |
Δ |
5.4144910628522E+20 |
Discriminant |
Eigenvalues |
2- 3- -1 2 -4 -4 7 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-8556773,-9566735587] |
[a1,a2,a3,a4,a6] |
Generators |
[-1761:7072:1] |
Generators of the group modulo torsion |
j |
95044320221412519799561/742728540857647104 |
j-invariant |
L |
8.0256874432798 |
L(r)(E,1)/r! |
Ω |
0.088313419235791 |
Real period |
R |
0.64912376144684 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12126d1 |
Quadratic twists by: -3 |