Atkin-Lehner |
2+ 3- 11+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
3894d |
Isogeny class |
Conductor |
3894 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
640 |
Modular degree for the optimal curve |
Δ |
1495296 = 28 · 32 · 11 · 59 |
Discriminant |
Eigenvalues |
2+ 3- 2 2 11+ 2 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-30,16] |
[a1,a2,a3,a4,a6] |
j |
2845178713/1495296 |
j-invariant |
L |
2.3579045976441 |
L(r)(E,1)/r! |
Ω |
2.3579045976441 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
31152s1 124608v1 11682v1 97350bn1 |
Quadratic twists by: -4 8 -3 5 |