Atkin-Lehner |
2+ 3+ 7+ 23- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
41538c |
Isogeny class |
Conductor |
41538 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
43008 |
Modular degree for the optimal curve |
Δ |
-2218378428 = -1 · 22 · 34 · 7 · 232 · 432 |
Discriminant |
Eigenvalues |
2+ 3+ -4 7+ -4 -4 0 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-647,6465] |
[a1,a2,a3,a4,a6] |
Generators |
[13:-28:1] [-7:107:1] |
Generators of the group modulo torsion |
j |
-30025133704441/2218378428 |
j-invariant |
L |
3.9125826671907 |
L(r)(E,1)/r! |
Ω |
1.4347488024865 |
Real period |
R |
0.68175395240116 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999969 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
124614n1 |
Quadratic twists by: -3 |