Atkin-Lehner |
2- 101- |
Signs for the Atkin-Lehner involutions |
Class |
3232d |
Isogeny class |
Conductor |
3232 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
320 |
Modular degree for the optimal curve |
Δ |
413696 = 212 · 101 |
Discriminant |
Eigenvalues |
2- -2 3 -2 0 1 3 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-29,43] |
[a1,a2,a3,a4,a6] |
Generators |
[1:4:1] |
Generators of the group modulo torsion |
j |
681472/101 |
j-invariant |
L |
2.7838709039032 |
L(r)(E,1)/r! |
Ω |
2.866864002032 |
Real period |
R |
0.48552545602617 |
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 |
3232b1 6464c1 29088d1 80800d1 |
Quadratic twists by: -4 8 -3 5 |