Atkin-Lehner |
2- 3+ 5+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
85200bz |
Isogeny class |
Conductor |
85200 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
276480 |
Modular degree for the optimal curve |
Δ |
-646987500000000 = -1 · 28 · 36 · 511 · 71 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -1 -2 1 2 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,17867,-813863] |
[a1,a2,a3,a4,a6] |
Generators |
[97:-1350:1] |
Generators of the group modulo torsion |
j |
157686431744/161746875 |
j-invariant |
L |
5.8511301188002 |
L(r)(E,1)/r! |
Ω |
0.27800485971178 |
Real period |
R |
1.315428919911 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002306 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
21300l1 17040ba1 |
Quadratic twists by: -4 5 |