Atkin-Lehner |
2- 3+ 5+ 7+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
35700j |
Isogeny class |
Conductor |
35700 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
Δ |
5942764800 = 28 · 33 · 52 · 7 · 173 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ 3 -2 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-306293,-65143983] |
[a1,a2,a3,a4,a6] |
Generators |
[-109487:34:343] |
Generators of the group modulo torsion |
j |
496542436313006080/928557 |
j-invariant |
L |
4.7109714603959 |
L(r)(E,1)/r! |
Ω |
0.2029388376905 |
Real period |
R |
2.5793055648401 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
107100x2 35700bu2 |
Quadratic twists by: -3 5 |