Atkin-Lehner |
2- 3- 5+ 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
84150ga |
Isogeny class |
Conductor |
84150 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
421749281250 = 2 · 38 · 56 · 112 · 17 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 11- -4 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-40955,-3179703] |
[a1,a2,a3,a4,a6] |
Generators |
[5662:140715:8] |
Generators of the group modulo torsion |
j |
666940371553/37026 |
j-invariant |
L |
11.259805670561 |
L(r)(E,1)/r! |
Ω |
0.33560243036435 |
Real period |
R |
4.1938781761228 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001857 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
28050d2 3366i2 |
Quadratic twists by: -3 5 |