Atkin-Lehner |
2- 3- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
71148ck |
Isogeny class |
Conductor |
71148 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
470400 |
Modular degree for the optimal curve |
Δ |
3431466065785296 = 24 · 3 · 79 · 116 |
Discriminant |
Eigenvalues |
2- 3- 2 7- 11- 4 -6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-55337,-4161060] |
[a1,a2,a3,a4,a6] |
Generators |
[-1291173961370226804:3214976192025729585:7373429161931456] |
Generators of the group modulo torsion |
j |
16384/3 |
j-invariant |
L |
9.3517429245258 |
L(r)(E,1)/r! |
Ω |
0.31520389513679 |
Real period |
R |
29.668868527214 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000478 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
71148w1 588e1 |
Quadratic twists by: -7 -11 |