Atkin-Lehner |
2- 5- 17+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
22780b |
Isogeny class |
Conductor |
22780 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
158400 |
Modular degree for the optimal curve |
Δ |
-934751497094000 = -1 · 24 · 53 · 178 · 67 |
Discriminant |
Eigenvalues |
2- 3 5- -1 4 6 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,6863,1454609] |
[a1,a2,a3,a4,a6] |
j |
2234321816696064/58421968568375 |
j-invariant |
L |
6.7144457763322 |
L(r)(E,1)/r! |
Ω |
0.37302476535179 |
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 |
91120p1 113900e1 |
Quadratic twists by: -4 5 |