Atkin-Lehner |
3- 5+ 23- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
42435b |
Isogeny class |
Conductor |
42435 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
739808480282175 = 322 · 52 · 23 · 41 |
Discriminant |
Eigenvalues |
1 3- 5+ -4 0 6 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1132830,-463797599] |
[a1,a2,a3,a4,a6] |
Generators |
[33617828062:-46510529696987:17576] |
Generators of the group modulo torsion |
j |
220541652490573594081/1014826447575 |
j-invariant |
L |
4.5328294492945 |
L(r)(E,1)/r! |
Ω |
0.1463384569006 |
Real period |
R |
15.487485467926 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14145a4 |
Quadratic twists by: -3 |