Atkin-Lehner |
2- 11+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
4136c |
Isogeny class |
Conductor |
4136 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1920 |
Modular degree for the optimal curve |
Δ |
-529408 = -1 · 210 · 11 · 47 |
Discriminant |
Eigenvalues |
2- 0 0 1 11+ 5 6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-6395,196838] |
[a1,a2,a3,a4,a6] |
Generators |
[46:2:1] |
Generators of the group modulo torsion |
j |
-28245248626500/517 |
j-invariant |
L |
3.6733508645504 |
L(r)(E,1)/r! |
Ω |
2.1007607210773 |
Real period |
R |
0.87429063855179 |
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 |
8272c1 33088l1 37224b1 103400a1 |
Quadratic twists by: -4 8 -3 5 |