Atkin-Lehner |
3- 5- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
42135k |
Isogeny class |
Conductor |
42135 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
14008430342556225 = 32 · 52 · 538 |
Discriminant |
Eigenvalues |
-1 3- 5- 4 -4 -2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-150340,-21714625] |
[a1,a2,a3,a4,a6] |
Generators |
[38966413579312050:156137711500195975:85608687817017] |
Generators of the group modulo torsion |
j |
16954786009/632025 |
j-invariant |
L |
5.138572481621 |
L(r)(E,1)/r! |
Ω |
0.24301105250903 |
Real period |
R |
21.145427043602 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000005 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
126405p2 795a2 |
Quadratic twists by: -3 53 |