Atkin-Lehner |
2- 5+ 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
42350bu |
Isogeny class |
Conductor |
42350 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
3390878476562500 = 22 · 510 · 72 · 116 |
Discriminant |
Eigenvalues |
2- 0 5+ 7+ 11- -6 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-53505,3865997] |
[a1,a2,a3,a4,a6] |
Generators |
[1630:8619:8] |
Generators of the group modulo torsion |
j |
611960049/122500 |
j-invariant |
L |
7.5116592876998 |
L(r)(E,1)/r! |
Ω |
0.42268844804181 |
Real period |
R |
4.4427871890601 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000006 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
8470h2 350a2 |
Quadratic twists by: 5 -11 |