Atkin-Lehner |
2+ 3- 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
37026q |
Isogeny class |
Conductor |
37026 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
528000 |
Modular degree for the optimal curve |
Δ |
-20657329784723808 = -1 · 25 · 311 · 118 · 17 |
Discriminant |
Eigenvalues |
2+ 3- -4 0 11- 4 17+ 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,45171,5833669] |
[a1,a2,a3,a4,a6] |
Generators |
[-103:335:1] |
Generators of the group modulo torsion |
j |
65227151/132192 |
j-invariant |
L |
3.3519339605913 |
L(r)(E,1)/r! |
Ω |
0.26523959138603 |
Real period |
R |
3.1593454271629 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999978 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12342x1 37026bq1 |
Quadratic twists by: -3 -11 |