Atkin-Lehner |
2- 3+ 5- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
86640ci |
Isogeny class |
Conductor |
86640 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
deg |
984960 |
Modular degree for the optimal curve |
Δ |
122281653895200000 = 28 · 32 · 55 · 198 |
Discriminant |
Eigenvalues |
2- 3+ 5- 2 1 4 -8 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-146325,13505625] |
[a1,a2,a3,a4,a6] |
Generators |
[-120:5415:1] |
Generators of the group modulo torsion |
j |
79691776/28125 |
j-invariant |
L |
7.1209347570843 |
L(r)(E,1)/r! |
Ω |
0.30357337682245 |
Real period |
R |
0.39095077111231 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000016304 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
21660ba1 86640eb1 |
Quadratic twists by: -4 -19 |