Atkin-Lehner |
2- 3+ 7- 17- 31- |
Signs for the Atkin-Lehner involutions |
Class |
22134bb |
Isogeny class |
Conductor |
22134 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-1357032839652 = -1 · 22 · 32 · 74 · 17 · 314 |
Discriminant |
Eigenvalues |
2- 3+ 2 7- 4 -2 17- -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,2283,38079] |
[a1,a2,a3,a4,a6] |
Generators |
[-9:134:1] |
Generators of the group modulo torsion |
j |
1315920210858287/1357032839652 |
j-invariant |
L |
8.306934114482 |
L(r)(E,1)/r! |
Ω |
0.56558678651047 |
Real period |
R |
3.6718211566318 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
66402j3 |
Quadratic twists by: -3 |