Atkin-Lehner |
2- 3- 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
121680dr |
Isogeny class |
Conductor |
121680 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
101477376 |
Modular degree for the optimal curve |
Δ |
-6.903798056488E+28 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 -5 13+ 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,971954997,4876488517498] |
[a1,a2,a3,a4,a6] |
Generators |
[186791617332144475726185:253756203596542246168056064:97735517165170199125] |
Generators of the group modulo torsion |
j |
41689615345255319/28343520000000 |
j-invariant |
L |
6.6194502647816 |
L(r)(E,1)/r! |
Ω |
0.021859657530831 |
Real period |
R |
37.851978327231 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15210bi1 40560cu1 121680fa1 |
Quadratic twists by: -4 -3 13 |