Atkin-Lehner |
2+ 5+ 31- 47- |
Signs for the Atkin-Lehner involutions |
Class |
72850j |
Isogeny class |
Conductor |
72850 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
20160 |
Modular degree for the optimal curve |
Δ |
182125000 = 23 · 56 · 31 · 47 |
Discriminant |
Eigenvalues |
2+ 1 5+ -3 -2 0 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-151,-302] |
[a1,a2,a3,a4,a6] |
Generators |
[-4:17:1] |
Generators of the group modulo torsion |
j |
24137569/11656 |
j-invariant |
L |
3.6111094057543 |
L(r)(E,1)/r! |
Ω |
1.4303932167224 |
Real period |
R |
2.5245571381455 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000034 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2914g1 |
Quadratic twists by: 5 |