Atkin-Lehner |
2- 3- 5+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
83520ec |
Isogeny class |
Conductor |
83520 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
384000 |
Modular degree for the optimal curve |
Δ |
-864087636600000 = -1 · 26 · 311 · 55 · 293 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 5 4 -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-136398,-19440722] |
[a1,a2,a3,a4,a6] |
Generators |
[17411681418003053:1057543982790087033:4671700873813] |
Generators of the group modulo torsion |
j |
-6015063504300544/18520396875 |
j-invariant |
L |
6.6140702309691 |
L(r)(E,1)/r! |
Ω |
0.12419024467548 |
Real period |
R |
26.628783316484 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
83520ed1 41760bl1 27840ee1 |
Quadratic twists by: -4 8 -3 |