Atkin-Lehner |
2+ 5- 7+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
81200t |
Isogeny class |
Conductor |
81200 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
591360 |
Modular degree for the optimal curve |
Δ |
-133743383200000000 = -1 · 211 · 58 · 78 · 29 |
Discriminant |
Eigenvalues |
2+ 0 5- 7+ -6 4 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-81875,19771250] |
[a1,a2,a3,a4,a6] |
Generators |
[-41:4802:1] |
Generators of the group modulo torsion |
j |
-75873071250/167179229 |
j-invariant |
L |
5.2205899130665 |
L(r)(E,1)/r! |
Ω |
0.291536218873 |
Real period |
R |
1.492264533148 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999970113 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
40600j1 81200p1 |
Quadratic twists by: -4 5 |