Atkin-Lehner |
2- 3- 5- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
55200cq |
Isogeny class |
Conductor |
55200 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
184320 |
Modular degree for the optimal curve |
Δ |
-944463375000000 = -1 · 26 · 33 · 59 · 234 |
Discriminant |
Eigenvalues |
2- 3- 5- 2 2 -2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-42958,3718088] |
[a1,a2,a3,a4,a6] |
j |
-70138418624/7555707 |
j-invariant |
L |
2.8992546764465 |
L(r)(E,1)/r! |
Ω |
0.48320911269202 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
55200cb1 110400hb1 55200t1 |
Quadratic twists by: -4 8 5 |