Atkin-Lehner |
3+ 5+ 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
42075a |
Isogeny class |
Conductor |
42075 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
4.5505418725764E+19 |
Discriminant |
Eigenvalues |
1 3+ 5+ 2 11+ 2 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-300694317,2007022334966] |
[a1,a2,a3,a4,a6] |
Generators |
[3942538183978:-2014105806314:393832837] |
Generators of the group modulo torsion |
j |
9776604686860471347243/147962546281 |
j-invariant |
L |
7.2382157517765 |
L(r)(E,1)/r! |
Ω |
0.1437582529287 |
Real period |
R |
12.587478639151 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000014 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
42075m2 1683b2 |
Quadratic twists by: -3 5 |