Atkin-Lehner |
3+ 11+ 23- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
70587a |
Isogeny class |
Conductor |
70587 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
28341456957 = 33 · 112 · 234 · 31 |
Discriminant |
Eigenvalues |
-1 3+ 0 -4 11+ 0 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-860,-5126] |
[a1,a2,a3,a4,a6] |
Generators |
[38:107:1] [47:214:1] |
Generators of the group modulo torsion |
j |
2602446343875/1049683591 |
j-invariant |
L |
5.797470573185 |
L(r)(E,1)/r! |
Ω |
0.91313164106814 |
Real period |
R |
1.5872493932976 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000069 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
70587b2 |
Quadratic twists by: -3 |