Atkin-Lehner |
2+ 5- 47- |
Signs for the Atkin-Lehner involutions |
Class |
88360i |
Isogeny class |
Conductor |
88360 |
Conductor |
∏ cp |
136 |
Product of Tamagawa factors cp |
deg |
1579776 |
Modular degree for the optimal curve |
Δ |
-2.02779296875E+19 |
Discriminant |
Eigenvalues |
2+ 0 5- -2 6 -1 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1661732,-852488444] |
[a1,a2,a3,a4,a6] |
Generators |
[1662:31250:1] |
Generators of the group modulo torsion |
j |
-19092953835942912/762939453125 |
j-invariant |
L |
6.0734594285187 |
L(r)(E,1)/r! |
Ω |
0.066330527069752 |
Real period |
R |
0.6732614953594 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000016261 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
88360b1 |
Quadratic twists by: -47 |