Atkin-Lehner |
2+ 3- 7- 19- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
42294m |
Isogeny class |
Conductor |
42294 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
16099041924 = 22 · 34 · 72 · 192 · 532 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- -4 -2 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-857,7400] |
[a1,a2,a3,a4,a6] |
Generators |
[-30:94:1] [-27:118:1] |
Generators of the group modulo torsion |
j |
69492431029897/16099041924 |
j-invariant |
L |
7.2374320324709 |
L(r)(E,1)/r! |
Ω |
1.1659140458832 |
Real period |
R |
1.5518794155591 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
126882bt2 |
Quadratic twists by: -3 |