Atkin-Lehner |
11- 43- |
Signs for the Atkin-Lehner involutions |
Class |
5203b |
Isogeny class |
Conductor |
5203 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
2700 |
Modular degree for the optimal curve |
Δ |
-76177123 = -1 · 116 · 43 |
Discriminant |
Eigenvalues |
2 -2 -4 0 11- 5 3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-40,-445] |
[a1,a2,a3,a4,a6] |
Generators |
[250:1377:8] |
Generators of the group modulo torsion |
j |
-4096/43 |
j-invariant |
L |
4.1041835230773 |
L(r)(E,1)/r! |
Ω |
0.82202992761467 |
Real period |
R |
4.9927422168031 |
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 |
83248bh1 46827v1 43a1 |
Quadratic twists by: -4 -3 -11 |