Atkin-Lehner |
3+ 7- 17- 19- |
Signs for the Atkin-Lehner involutions |
Class |
47481l |
Isogeny class |
Conductor |
47481 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
152064 |
Modular degree for the optimal curve |
Δ |
-657105995925099 = -1 · 34 · 72 · 176 · 193 |
Discriminant |
Eigenvalues |
-1 3+ -1 7- -5 -4 17- 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-14071,-1396480] |
[a1,a2,a3,a4,a6] |
Generators |
[182:1362:1] [420:7975:1] |
Generators of the group modulo torsion |
j |
-6287882973213121/13410326447451 |
j-invariant |
L |
4.5134983733874 |
L(r)(E,1)/r! |
Ω |
0.20543735640678 |
Real period |
R |
0.6102831393919 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
47481m1 |
Quadratic twists by: -7 |