Atkin-Lehner |
2- 3+ 7+ 11- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
42966v |
Isogeny class |
Conductor |
42966 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
-897193497816 = -1 · 23 · 39 · 72 · 112 · 312 |
Discriminant |
Eigenvalues |
2- 3+ -2 7+ 11- 0 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-191,45631] |
[a1,a2,a3,a4,a6] |
Generators |
[17:-226:1] |
Generators of the group modulo torsion |
j |
-38958219/45582152 |
j-invariant |
L |
7.8551750964349 |
L(r)(E,1)/r! |
Ω |
0.71462104515965 |
Real period |
R |
0.9160070629552 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000004 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
42966a2 |
Quadratic twists by: -3 |