Atkin-Lehner |
2+ 7- 17- 67- |
Signs for the Atkin-Lehner involutions |
Class |
127568p |
Isogeny class |
Conductor |
127568 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
235008 |
Modular degree for the optimal curve |
Δ |
30529263514624 = 210 · 73 · 172 · 673 |
Discriminant |
Eigenvalues |
2+ -1 1 7- 0 -7 17- -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-7960,66368] |
[a1,a2,a3,a4,a6] |
Generators |
[-76:476:1] [-32:536:1] |
Generators of the group modulo torsion |
j |
54477543627364/29813733901 |
j-invariant |
L |
10.459937598931 |
L(r)(E,1)/r! |
Ω |
0.57475287991235 |
Real period |
R |
0.25276412906315 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999985324 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
63784l1 |
Quadratic twists by: -4 |