Atkin-Lehner |
2+ 3- 5+ 29+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
96570d |
Isogeny class |
Conductor |
96570 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
256748212302480 = 24 · 310 · 5 · 29 · 374 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -4 4 2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-113670,14759140] |
[a1,a2,a3,a4,a6] |
Generators |
[-49:4520:1] |
Generators of the group modulo torsion |
j |
222810633233255521/352192335120 |
j-invariant |
L |
3.9477206877237 |
L(r)(E,1)/r! |
Ω |
0.55276588290007 |
Real period |
R |
0.8927198727185 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999460909 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
32190s4 |
Quadratic twists by: -3 |