Atkin-Lehner |
2- 3- 7- |
Signs for the Atkin-Lehner involutions |
Class |
3528y |
Isogeny class |
Conductor |
3528 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
9216 |
Modular degree for the optimal curve |
Δ |
-88959365217072 = -1 · 24 · 39 · 710 |
Discriminant |
Eigenvalues |
2- 3- 2 7- 0 -6 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3234,459277] |
[a1,a2,a3,a4,a6] |
j |
-2725888/64827 |
j-invariant |
L |
2.0263794499787 |
L(r)(E,1)/r! |
Ω |
0.50659486249467 |
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 |
7056w1 28224ce1 1176e1 88200ca1 |
Quadratic twists by: -4 8 -3 5 |