Atkin-Lehner |
2- 3- 11+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
37026x |
Isogeny class |
Conductor |
37026 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-157790941282854 = -1 · 2 · 320 · 113 · 17 |
Discriminant |
Eigenvalues |
2- 3- 2 -4 11+ -2 17- -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,13441,70733] |
[a1,a2,a3,a4,a6] |
j |
276785390413/162620946 |
j-invariant |
L |
2.7968506728829 |
L(r)(E,1)/r! |
Ω |
0.34960633411387 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12342h2 37026e2 |
Quadratic twists by: -3 -11 |