Atkin-Lehner |
2+ 3+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
3528d |
Isogeny class |
Conductor |
3528 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1536 |
Modular degree for the optimal curve |
Δ |
-2490394032 = -1 · 24 · 33 · 78 |
Discriminant |
Eigenvalues |
2+ 3+ 2 7- -2 -2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-294,-3087] |
[a1,a2,a3,a4,a6] |
j |
-55296/49 |
j-invariant |
L |
2.2237610479958 |
L(r)(E,1)/r! |
Ω |
0.55594026199894 |
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 |
7056g1 28224p1 3528q1 88200eq1 |
Quadratic twists by: -4 8 -3 5 |