Atkin-Lehner |
2- 3- 5+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
87600ch |
Isogeny class |
Conductor |
87600 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
1990656 |
Modular degree for the optimal curve |
Δ |
158905110528000000 = 218 · 312 · 56 · 73 |
Discriminant |
Eigenvalues |
2- 3- 5+ -4 6 4 6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-778208,-263798412] |
[a1,a2,a3,a4,a6] |
Generators |
[-518:768:1] |
Generators of the group modulo torsion |
j |
814388006841625/2482892352 |
j-invariant |
L |
8.1518742891422 |
L(r)(E,1)/r! |
Ω |
0.16077006352031 |
Real period |
R |
2.1127156469335 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999987164 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10950t1 3504q1 |
Quadratic twists by: -4 5 |