Atkin-Lehner |
2+ 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
2240l |
Isogeny class |
Conductor |
2240 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
192 |
Modular degree for the optimal curve |
Δ |
-109760 = -1 · 26 · 5 · 73 |
Discriminant |
Eigenvalues |
2+ 1 5- 7- -1 -3 -7 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-15,23] |
[a1,a2,a3,a4,a6] |
Generators |
[-2:7:1] |
Generators of the group modulo torsion |
j |
-6229504/1715 |
j-invariant |
L |
3.6856362870228 |
L(r)(E,1)/r! |
Ω |
3.1699909202605 |
Real period |
R |
0.38755487315611 |
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 |
2240h1 1120k1 20160bp1 11200f1 |
Quadratic twists by: -4 8 -3 5 |