Atkin-Lehner |
2+ 5+ 7+ |
Signs for the Atkin-Lehner involutions |
Class |
2240a |
Isogeny class |
Conductor |
2240 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
320 |
Modular degree for the optimal curve |
Δ |
-1400000 = -1 · 26 · 55 · 7 |
Discriminant |
Eigenvalues |
2+ -1 5+ 7+ 3 7 -5 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,9,-59] |
[a1,a2,a3,a4,a6] |
Generators |
[4:5:1] |
Generators of the group modulo torsion |
j |
1124864/21875 |
j-invariant |
L |
2.4814492365422 |
L(r)(E,1)/r! |
Ω |
1.3132721587578 |
Real period |
R |
1.8895163656628 |
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 |
2240b1 1120m1 20160bz1 11200t1 |
Quadratic twists by: -4 8 -3 5 |