Atkin-Lehner |
2- 3- 5- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
121680fa |
Isogeny class |
Conductor |
121680 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
7805952 |
Modular degree for the optimal curve |
Δ |
-1.4303027230802E+22 |
Discriminant |
Eigenvalues |
2- 3- 5- -2 5 13+ 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,5751213,2219612434] |
[a1,a2,a3,a4,a6] |
j |
41689615345255319/28343520000000 |
j-invariant |
L |
2.2068500065928 |
L(r)(E,1)/r! |
Ω |
0.078816116091494 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15210t1 40560cf1 121680dr1 |
Quadratic twists by: -4 -3 13 |