Atkin-Lehner |
2- 3+ 37- 61- |
Signs for the Atkin-Lehner involutions |
Class |
108336q |
Isogeny class |
Conductor |
108336 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
Δ |
-3.0424703200551E+24 |
Discriminant |
Eigenvalues |
2- 3+ 0 1 -3 5 -3 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,36149032,6663073776] |
[a1,a2,a3,a4,a6] |
j |
1275421603247824768382375/742790605482211610112 |
j-invariant |
L |
1.7389337743655 |
L(r)(E,1)/r! |
Ω |
0.048303725704727 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13542e3 |
Quadratic twists by: -4 |