Atkin-Lehner |
2- 3+ 5+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
87600bt |
Isogeny class |
Conductor |
87600 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
331776 |
Modular degree for the optimal curve |
Δ |
67276800000000 = 218 · 32 · 58 · 73 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -4 0 4 -8 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-12008,-313488] |
[a1,a2,a3,a4,a6] |
Generators |
[-92:64:1] |
Generators of the group modulo torsion |
j |
2992209121/1051200 |
j-invariant |
L |
4.386610596911 |
L(r)(E,1)/r! |
Ω |
0.46923978753919 |
Real period |
R |
2.3370836802228 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999968878 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10950o1 17520x1 |
Quadratic twists by: -4 5 |