Atkin-Lehner |
2+ 3- 5+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
42840s |
Isogeny class |
Conductor |
42840 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
98304 |
Modular degree for the optimal curve |
Δ |
-11386068750000 = -1 · 24 · 37 · 58 · 72 · 17 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 4 -2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,5622,-5623] |
[a1,a2,a3,a4,a6] |
Generators |
[17:308:1] |
Generators of the group modulo torsion |
j |
1684801439744/976171875 |
j-invariant |
L |
5.8836305907487 |
L(r)(E,1)/r! |
Ω |
0.42624477072133 |
Real period |
R |
3.4508520660541 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999911 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
85680q1 14280bp1 |
Quadratic twists by: -4 -3 |