Atkin-Lehner |
2- 5+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
42400l |
Isogeny class |
Conductor |
42400 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
282624 |
Modular degree for the optimal curve |
Δ |
33125000000 = 26 · 510 · 53 |
Discriminant |
Eigenvalues |
2- -2 5+ 0 0 -6 -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1104158,-446943812] |
[a1,a2,a3,a4,a6] |
Generators |
[586197792246:-24036875876575:259694072] |
Generators of the group modulo torsion |
j |
148873629225439936/33125 |
j-invariant |
L |
2.837675572792 |
L(r)(E,1)/r! |
Ω |
0.14727930159407 |
Real period |
R |
19.267307368202 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000017 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
42400c1 84800f2 8480a1 |
Quadratic twists by: -4 8 5 |