Atkin-Lehner |
2+ 3- 5+ 7- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
43050p |
Isogeny class |
Conductor |
43050 |
Conductor |
∏ cp |
22 |
Product of Tamagawa factors cp |
deg |
696960 |
Modular degree for the optimal curve |
Δ |
-2734849238688000000 = -1 · 211 · 311 · 56 · 7 · 413 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- -1 0 -2 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,123224,-77793802] |
[a1,a2,a3,a4,a6] |
Generators |
[352:2861:1] |
Generators of the group modulo torsion |
j |
13243252505373071/175030351276032 |
j-invariant |
L |
5.325347301358 |
L(r)(E,1)/r! |
Ω |
0.12520211293589 |
Real period |
R |
1.9333638649885 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000015 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
129150dk1 1722i1 |
Quadratic twists by: -3 5 |