Atkin-Lehner |
2+ 3+ 7+ 11- 31- |
Signs for the Atkin-Lehner involutions |
Class |
57288b |
Isogeny class |
Conductor |
57288 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
44800 |
Modular degree for the optimal curve |
Δ |
-14700559104 = -1 · 28 · 37 · 7 · 112 · 31 |
Discriminant |
Eigenvalues |
2+ 3+ 3 7+ 11- -1 2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1209,-16803] |
[a1,a2,a3,a4,a6] |
Generators |
[49:198:1] |
Generators of the group modulo torsion |
j |
-764050066432/57424059 |
j-invariant |
L |
6.993520521826 |
L(r)(E,1)/r! |
Ω |
0.40305252917746 |
Real period |
R |
2.1689234080749 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000131 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
114576r1 |
Quadratic twists by: -4 |