Atkin-Lehner |
2- 3- 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
121680dj |
Isogeny class |
Conductor |
121680 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
4515840 |
Modular degree for the optimal curve |
Δ |
-3.9522529923552E+20 |
Discriminant |
Eigenvalues |
2- 3- 5+ -1 -5 13+ 7 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1614288,-1240197712] |
[a1,a2,a3,a4,a6] |
Generators |
[15856529:809806257:4913] |
Generators of the group modulo torsion |
j |
-32278933504/27421875 |
j-invariant |
L |
4.998990425526 |
L(r)(E,1)/r! |
Ω |
0.064654003041787 |
Real period |
R |
9.664889708194 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999135608 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7605k1 40560bp1 9360bt1 |
Quadratic twists by: -4 -3 13 |