Atkin-Lehner |
2+ 3- 7- |
Signs for the Atkin-Lehner involutions |
Class |
3528l |
Isogeny class |
Conductor |
3528 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
197605142784 = 28 · 38 · 76 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- -4 2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1911,24010] |
[a1,a2,a3,a4,a6] |
Generators |
[-13:216:1] |
Generators of the group modulo torsion |
j |
35152/9 |
j-invariant |
L |
3.0828451371335 |
L(r)(E,1)/r! |
Ω |
0.94118058971655 |
Real period |
R |
1.6377543113495 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
7056z2 28224by2 1176i2 88200ha2 |
Quadratic twists by: -4 8 -3 5 |