Atkin-Lehner |
2- 5- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
43120cn |
Isogeny class |
Conductor |
43120 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
24530688 |
Modular degree for the optimal curve |
Δ |
5.5873318568891E+26 |
Discriminant |
Eigenvalues |
2- 1 5- 7- 11+ -5 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2840767960,58265568462100] |
[a1,a2,a3,a4,a6] |
j |
2191243533026687730409/482907687116800 |
j-invariant |
L |
1.6143390411284 |
L(r)(E,1)/r! |
Ω |
0.050448095036974 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5390t1 43120y1 |
Quadratic twists by: -4 -7 |