Atkin-Lehner |
2- 5+ 11- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
20240p |
Isogeny class |
Conductor |
20240 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
20736 |
Modular degree for the optimal curve |
Δ |
-1403382661120 = -1 · 221 · 5 · 11 · 233 |
Discriminant |
Eigenvalues |
2- 2 5+ 1 11- 2 0 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2816,81920] |
[a1,a2,a3,a4,a6] |
Generators |
[-59:198:1] |
Generators of the group modulo torsion |
j |
-603136942849/342622720 |
j-invariant |
L |
7.2135321757438 |
L(r)(E,1)/r! |
Ω |
0.79216505859456 |
Real period |
R |
4.5530486970366 |
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 |
2530f1 80960bx1 101200bx1 |
Quadratic twists by: -4 8 5 |