Atkin-Lehner |
3+ 5+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
42135a |
Isogeny class |
Conductor |
42135 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
183168 |
Modular degree for the optimal curve |
Δ |
2801686068511245 = 32 · 5 · 538 |
Discriminant |
Eigenvalues |
0 3+ 5+ 0 4 4 -2 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-99251,-11729578] |
[a1,a2,a3,a4,a6] |
j |
1736704/45 |
j-invariant |
L |
1.6164164343392 |
L(r)(E,1)/r! |
Ω |
0.26940273905364 |
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 |
126405u1 42135g1 |
Quadratic twists by: -3 53 |