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 |
17636902416 = 24 · 34 · 72 · 172 · 312 |
Discriminant |
Eigenvalues |
2- 3+ 2 7- 4 -2 17- -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-777,5031] |
[a1,a2,a3,a4,a6] |
Generators |
[-27:98:1] |
Generators of the group modulo torsion |
j |
51882596397073/17636902416 |
j-invariant |
L |
8.306934114482 |
L(r)(E,1)/r! |
Ω |
1.1311735730209 |
Real period |
R |
1.8359105783159 |
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 |
66402j2 |
Quadratic twists by: -3 |