Atkin-Lehner |
2+ 3- 5+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
98400bf |
Isogeny class |
Conductor |
98400 |
Conductor |
∏ cp |
116 |
Product of Tamagawa factors cp |
deg |
28730880 |
Modular degree for the optimal curve |
Δ |
-7.0346136799005E+25 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -3 2 0 0 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-56252008,-434999545012] |
[a1,a2,a3,a4,a6] |
Generators |
[21743:2936250:1] |
Generators of the group modulo torsion |
j |
-2460638542909233980168/8793267099875634375 |
j-invariant |
L |
8.2175842454617 |
L(r)(E,1)/r! |
Ω |
0.025282766883343 |
Real period |
R |
2.801957714412 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999696361 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
98400k1 19680v1 |
Quadratic twists by: -4 5 |