Atkin-Lehner |
2- 5+ 7+ |
Signs for the Atkin-Lehner involutions |
Class |
2240r |
Isogeny class |
Conductor |
2240 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
192 |
Modular degree for the optimal curve |
Δ |
-2240 = -1 · 26 · 5 · 7 |
Discriminant |
Eigenvalues |
2- 3 5+ 7+ 3 -1 -1 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,2,2] |
[a1,a2,a3,a4,a6] |
j |
13824/35 |
j-invariant |
L |
3.2281832622671 |
L(r)(E,1)/r! |
Ω |
3.2281832622671 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2240v1 1120n1 20160es1 11200ct1 |
Quadratic twists by: -4 8 -3 5 |