Atkin-Lehner |
2- 3+ 5+ 7- 43- |
Signs for the Atkin-Lehner involutions |
Class |
54180c |
Isogeny class |
Conductor |
54180 |
Conductor |
∏ cp |
54 |
Product of Tamagawa factors cp |
deg |
145152 |
Modular degree for the optimal curve |
Δ |
-59968688290560 = -1 · 28 · 33 · 5 · 79 · 43 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 6 -1 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,9552,-98492] |
[a1,a2,a3,a4,a6] |
j |
13944499273728/8676025505 |
j-invariant |
L |
2.1599318980693 |
L(r)(E,1)/r! |
Ω |
0.35998864963948 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
54180f2 |
Quadratic twists by: -3 |