Atkin-Lehner |
2+ 3+ 7+ 17- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
22134b |
Isogeny class |
Conductor |
22134 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
387072 |
Modular degree for the optimal curve |
Δ |
-3893315347869696 = -1 · 212 · 32 · 7 · 17 · 316 |
Discriminant |
Eigenvalues |
2+ 3+ -2 7+ 0 0 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1906621,-1014114755] |
[a1,a2,a3,a4,a6] |
j |
-766508869303782707848537/3893315347869696 |
j-invariant |
L |
0.12847934078868 |
L(r)(E,1)/r! |
Ω |
0.064239670394353 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
66402r1 |
Quadratic twists by: -3 |