Atkin-Lehner |
2- 3+ 37- 61- |
Signs for the Atkin-Lehner involutions |
Class |
54168h |
Isogeny class |
Conductor |
54168 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
95616 |
Modular degree for the optimal curve |
Δ |
-1158019971072 = -1 · 211 · 3 · 373 · 612 |
Discriminant |
Eigenvalues |
2- 3+ 4 3 -3 1 3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-736,52588] |
[a1,a2,a3,a4,a6] |
j |
-21558430658/565439439 |
j-invariant |
L |
4.3572378285345 |
L(r)(E,1)/r! |
Ω |
0.72620630495297 |
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 |
108336i1 |
Quadratic twists by: -4 |