Atkin-Lehner |
2- 5- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
84800cl |
Isogeny class |
Conductor |
84800 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
76800 |
Modular degree for the optimal curve |
Δ |
339200000000 = 214 · 58 · 53 |
Discriminant |
Eigenvalues |
2- 0 5- -3 -3 -2 5 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2000,-20000] |
[a1,a2,a3,a4,a6] |
Generators |
[129:1367:1] |
Generators of the group modulo torsion |
j |
138240/53 |
j-invariant |
L |
3.7073093928701 |
L(r)(E,1)/r! |
Ω |
0.73740702760927 |
Real period |
R |
5.0274939818347 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999983866 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
84800bb1 21200c1 84800bv1 |
Quadratic twists by: -4 8 5 |