Atkin-Lehner |
2+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
2624a |
Isogeny class |
Conductor |
2624 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
256 |
Modular degree for the optimal curve |
Δ |
2686976 = 216 · 41 |
Discriminant |
Eigenvalues |
2+ 0 2 -2 0 4 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-44,-80] |
[a1,a2,a3,a4,a6] |
Generators |
[-3:5:1] |
Generators of the group modulo torsion |
j |
143748/41 |
j-invariant |
L |
3.3751150568221 |
L(r)(E,1)/r! |
Ω |
1.8939097582046 |
Real period |
R |
1.7820886355333 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2624d1 328a1 23616t1 65600a1 |
Quadratic twists by: -4 8 -3 5 |