Atkin-Lehner |
2- 3- 5- 71- |
Signs for the Atkin-Lehner involutions |
Class |
102240bp |
Isogeny class |
Conductor |
102240 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
55296 |
Modular degree for the optimal curve |
Δ |
-1060024320 = -1 · 212 · 36 · 5 · 71 |
Discriminant |
Eigenvalues |
2- 3- 5- -1 -4 -5 -2 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1992,-34256] |
[a1,a2,a3,a4,a6] |
Generators |
[65:333:1] |
Generators of the group modulo torsion |
j |
-292754944/355 |
j-invariant |
L |
4.8730345429651 |
L(r)(E,1)/r! |
Ω |
0.35728571428273 |
Real period |
R |
3.4097602860286 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999705698 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
102240l1 11360c1 |
Quadratic twists by: -4 -3 |