Atkin-Lehner |
2+ 3+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
3552a |
Isogeny class |
Conductor |
3552 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
224 |
Modular degree for the optimal curve |
Δ |
-56832 = -1 · 29 · 3 · 37 |
Discriminant |
Eigenvalues |
2+ 3+ 0 -3 -3 5 3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-8,-12] |
[a1,a2,a3,a4,a6] |
Generators |
[4:2:1] |
Generators of the group modulo torsion |
j |
-125000/111 |
j-invariant |
L |
2.7562876112887 |
L(r)(E,1)/r! |
Ω |
1.3548348358054 |
Real period |
R |
1.017204288835 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3552c1 7104x1 10656n1 88800ci1 |
Quadratic twists by: -4 8 -3 5 |