Atkin-Lehner |
2+ 3- 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
37026n |
Isogeny class |
Conductor |
37026 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
-73616402524667904 = -1 · 221 · 310 · 112 · 173 |
Discriminant |
Eigenvalues |
2+ 3- 3 1 11- 4 17+ -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-36108,-13309488] |
[a1,a2,a3,a4,a6] |
Generators |
[112615023948:27312567967725:1906624] |
Generators of the group modulo torsion |
j |
-59023897051273/834567929856 |
j-invariant |
L |
5.7692982079322 |
L(r)(E,1)/r! |
Ω |
0.14769580216737 |
Real period |
R |
19.531016194334 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12342bg2 37026bo2 |
Quadratic twists by: -3 -11 |