Atkin-Lehner |
2+ 3- 5- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
121680bg |
Isogeny class |
Conductor |
121680 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
411034311204940800 = 210 · 39 · 52 · 138 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 4 13+ -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3701506107,86679384534106] |
[a1,a2,a3,a4,a6] |
Generators |
[-40378:13050180:1] |
Generators of the group modulo torsion |
j |
1556580279686303289604/114075 |
j-invariant |
L |
8.5976402605637 |
L(r)(E,1)/r! |
Ω |
0.11444826598848 |
Real period |
R |
4.6951564863312 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999605481 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
60840br4 40560o4 9360l4 |
Quadratic twists by: -4 -3 13 |