Atkin-Lehner |
2- 5- 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
3640i |
Isogeny class |
Conductor |
3640 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
60569600 = 211 · 52 · 7 · 132 |
Discriminant |
Eigenvalues |
2- 2 5- 7+ 0 13+ -8 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-320,-2068] |
[a1,a2,a3,a4,a6] |
Generators |
[-249:100:27] |
Generators of the group modulo torsion |
j |
1775007362/29575 |
j-invariant |
L |
4.8074723987396 |
L(r)(E,1)/r! |
Ω |
1.1296342329577 |
Real period |
R |
4.2557778956047 |
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 |
7280i2 29120e2 32760g2 18200g2 |
Quadratic twists by: -4 8 -3 5 |