Atkin-Lehner |
3- 7- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
3717c |
Isogeny class |
Conductor |
3717 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
960 |
Modular degree for the optimal curve |
Δ |
6322617 = 37 · 72 · 59 |
Discriminant |
Eigenvalues |
1 3- -4 7- 0 4 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-54,-81] |
[a1,a2,a3,a4,a6] |
Generators |
[-2:5:1] |
Generators of the group modulo torsion |
j |
24137569/8673 |
j-invariant |
L |
3.4568965823104 |
L(r)(E,1)/r! |
Ω |
1.8121689400633 |
Real period |
R |
1.9076017174147 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
59472bh1 1239a1 92925h1 26019m1 |
Quadratic twists by: -4 -3 5 -7 |