Atkin-Lehner |
2+ 3- 5+ 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
64350bs |
Isogeny class |
Conductor |
64350 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
36771840 |
Modular degree for the optimal curve |
Δ |
-4.1864605770874E+27 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -1 11- 13- -1 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-240710067,3428924788341] |
[a1,a2,a3,a4,a6] |
j |
-135412551115258010417641/367535633653760000000 |
j-invariant |
L |
1.2373101951833 |
L(r)(E,1)/r! |
Ω |
0.038665943376329 |
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 |
7150q1 12870bp1 |
Quadratic twists by: -3 5 |