Atkin-Lehner |
2- 3+ 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
44688cb |
Isogeny class |
Conductor |
44688 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
122880 |
Modular degree for the optimal curve |
Δ |
-425102709620736 = -1 · 228 · 35 · 73 · 19 |
Discriminant |
Eigenvalues |
2- 3+ -2 7- 2 2 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,1216,-992256] |
[a1,a2,a3,a4,a6] |
Generators |
[14980:222263:64] |
Generators of the group modulo torsion |
j |
141420761/302579712 |
j-invariant |
L |
4.1767402463922 |
L(r)(E,1)/r! |
Ω |
0.24623851563 |
Real period |
R |
8.4810863883609 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999822 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5586ba1 44688di1 |
Quadratic twists by: -4 -7 |