Atkin-Lehner |
2+ 11- 47- |
Signs for the Atkin-Lehner involutions |
Class |
11374g |
Isogeny class |
Conductor |
11374 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
3840 |
Modular degree for the optimal curve |
Δ |
22020064 = 25 · 114 · 47 |
Discriminant |
Eigenvalues |
2+ 1 1 4 11- 3 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-608,-5810] |
[a1,a2,a3,a4,a6] |
Generators |
[-14:7:1] |
Generators of the group modulo torsion |
j |
1693700041/1504 |
j-invariant |
L |
4.7693231728985 |
L(r)(E,1)/r! |
Ω |
0.96168404960253 |
Real period |
R |
1.6531150658298 |
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 |
90992o1 102366bf1 11374k1 |
Quadratic twists by: -4 -3 -11 |