Atkin-Lehner |
2+ 3- 5+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
42840s |
Isogeny class |
Conductor |
42840 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
6186489469977600 = 210 · 310 · 52 · 72 · 174 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 4 -2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-243003,45951302] |
[a1,a2,a3,a4,a6] |
Generators |
[-209:9360:1] |
Generators of the group modulo torsion |
j |
2125842732972004/8287371225 |
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 |
4 |
Number of elements in the torsion subgroup |
Twists |
85680q3 14280bp3 |
Quadratic twists by: -4 -3 |