Atkin-Lehner |
2+ 3+ 7+ 17- 31- |
Signs for the Atkin-Lehner involutions |
Class |
22134g |
Isogeny class |
Conductor |
22134 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
879959215464 = 23 · 3 · 72 · 176 · 31 |
Discriminant |
Eigenvalues |
2+ 3+ -2 7+ -2 -2 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-3251,53925] |
[a1,a2,a3,a4,a6] |
Generators |
[-11:303:1] |
Generators of the group modulo torsion |
j |
3801748078361017/879959215464 |
j-invariant |
L |
2.140896470913 |
L(r)(E,1)/r! |
Ω |
0.83537281156716 |
Real period |
R |
0.85426787547973 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
66402y2 |
Quadratic twists by: -3 |