Atkin-Lehner |
2+ 3+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
3528f |
Isogeny class |
Conductor |
3528 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
2880 |
Modular degree for the optimal curve |
Δ |
-246903552 = -1 · 28 · 39 · 72 |
Discriminant |
Eigenvalues |
2+ 3+ 4 7- 0 3 -4 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2268,-41580] |
[a1,a2,a3,a4,a6] |
j |
-5225472 |
j-invariant |
L |
2.7672206978584 |
L(r)(E,1)/r! |
Ω |
0.3459025872323 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7056k1 28224u1 3528r1 88200el1 |
Quadratic twists by: -4 8 -3 5 |