Atkin-Lehner |
2+ 3+ 11- 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
116688b |
Isogeny class |
Conductor |
116688 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
29417472 |
Modular degree for the optimal curve |
Δ |
4.3287985420291E+24 |
Discriminant |
Eigenvalues |
2+ 3+ -4 2 11- 13+ 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-47610480,77268656016] |
[a1,a2,a3,a4,a6] |
j |
11655514380177716143596484/4227342326200281870153 |
j-invariant |
L |
1.1386734191281 |
L(r)(E,1)/r! |
Ω |
0.071167084380686 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
58344c1 |
Quadratic twists by: -4 |