Atkin-Lehner |
2- 5+ 7+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
40600p |
Isogeny class |
Conductor |
40600 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
59136 |
Modular degree for the optimal curve |
Δ |
-8559576524800 = -1 · 211 · 52 · 78 · 29 |
Discriminant |
Eigenvalues |
2- 0 5+ 7+ 6 -4 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3275,-158170] |
[a1,a2,a3,a4,a6] |
Generators |
[9316822:118383706:50653] |
Generators of the group modulo torsion |
j |
-75873071250/167179229 |
j-invariant |
L |
5.1630066744174 |
L(r)(E,1)/r! |
Ω |
0.29539937490296 |
Real period |
R |
8.7390277588012 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999971 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
81200p1 40600j1 |
Quadratic twists by: -4 5 |