Atkin-Lehner |
2+ 3+ 19- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
24168c |
Isogeny class |
Conductor |
24168 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
7872 |
Modular degree for the optimal curve |
Δ |
135775824 = 24 · 3 · 19 · 533 |
Discriminant |
Eigenvalues |
2+ 3+ 1 1 2 2 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-515,-4296] |
[a1,a2,a3,a4,a6] |
j |
945950550016/8485989 |
j-invariant |
L |
2.0051302556704 |
L(r)(E,1)/r! |
Ω |
1.0025651278352 |
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 |
48336p1 72504bb1 |
Quadratic twists by: -4 -3 |