Atkin-Lehner |
2+ 3- 5- 13+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
104130u |
Isogeny class |
Conductor |
104130 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
3870720 |
Modular degree for the optimal curve |
Δ |
-2.6897976898191E+19 |
Discriminant |
Eigenvalues |
2+ 3- 5- 2 4 13+ 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-3412269,2439775525] |
[a1,a2,a3,a4,a6] |
j |
-6027344813416845190609/36897087651840000 |
j-invariant |
L |
3.3954599678585 |
L(r)(E,1)/r! |
Ω |
0.2122162566596 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
34710s1 |
Quadratic twists by: -3 |