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 |
deg |
129024 |
Modular degree for the optimal curve |
Δ |
-102006265071744 = -1 · 27 · 318 · 112 · 17 |
Discriminant |
Eigenvalues |
2+ 3- 3 1 11- 4 17+ -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,3987,475173] |
[a1,a2,a3,a4,a6] |
Generators |
[564:45465:64] |
Generators of the group modulo torsion |
j |
79448965607/1156415616 |
j-invariant |
L |
5.7692982079322 |
L(r)(E,1)/r! |
Ω |
0.44308740650211 |
Real period |
R |
6.5103387314451 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999995 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12342bg1 37026bo1 |
Quadratic twists by: -3 -11 |