Atkin-Lehner |
2- 3+ 7+ 11- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
42966w |
Isogeny class |
Conductor |
42966 |
Conductor |
∏ cp |
336 |
Product of Tamagawa factors cp |
Δ |
4.2522735653966E+19 |
Discriminant |
Eigenvalues |
2- 3+ -4 7+ 11- 4 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-73174862,240948143965] |
[a1,a2,a3,a4,a6] |
Generators |
[5017:-12013:1] |
Generators of the group modulo torsion |
j |
2201497265253284702383707/2160378786463744 |
j-invariant |
L |
6.5346410270397 |
L(r)(E,1)/r! |
Ω |
0.17040501070228 |
Real period |
R |
0.45652029385448 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999989 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
42966b2 |
Quadratic twists by: -3 |