Atkin-Lehner |
2- 3+ 5- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
55200bx |
Isogeny class |
Conductor |
55200 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
2928640 |
Modular degree for the optimal curve |
Δ |
-9.9882403988928E+20 |
Discriminant |
Eigenvalues |
2- 3+ 5- -2 2 -6 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,1724402,1245397192] |
[a1,a2,a3,a4,a6] |
Generators |
[-2588769019865457:-171043286627617924:7145563676581] |
Generators of the group modulo torsion |
j |
70884132211471150144/124853004986159763 |
j-invariant |
L |
4.4776273320321 |
L(r)(E,1)/r! |
Ω |
0.10711714009384 |
Real period |
R |
20.900610901603 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.00000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
55200cw1 110400iz1 55200bj1 |
Quadratic twists by: -4 8 5 |