Atkin-Lehner |
2- 3+ 5+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
49980d |
Isogeny class |
Conductor |
49980 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
331776 |
Modular degree for the optimal curve |
Δ |
36400034990667600 = 24 · 33 · 52 · 79 · 174 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- -2 0 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-127661,15008190] |
[a1,a2,a3,a4,a6] |
Generators |
[103:1715:1] |
Generators of the group modulo torsion |
j |
122234448510976/19337199525 |
j-invariant |
L |
4.2460113909226 |
L(r)(E,1)/r! |
Ω |
0.35020260718485 |
Real period |
R |
1.0103702123179 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000036 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7140n1 |
Quadratic twists by: -7 |