Atkin-Lehner |
2+ 3+ 11+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
91872d |
Isogeny class |
Conductor |
91872 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
24576 |
Modular degree for the optimal curve |
Δ |
-4409856 = -1 · 29 · 33 · 11 · 29 |
Discriminant |
Eigenvalues |
2+ 3+ -3 5 11+ 1 0 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,21,-94] |
[a1,a2,a3,a4,a6] |
j |
74088/319 |
j-invariant |
L |
2.4814976367519 |
L(r)(E,1)/r! |
Ω |
1.2407489574309 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
91872s1 91872q1 |
Quadratic twists by: -4 -3 |