Atkin-Lehner |
2+ 3+ 7+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
58464a |
Isogeny class |
Conductor |
58464 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
81381888 = 29 · 33 · 7 · 292 |
Discriminant |
Eigenvalues |
2+ 3+ 0 7+ -4 -2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-195,954] |
[a1,a2,a3,a4,a6] |
Generators |
[10:2:1] |
Generators of the group modulo torsion |
j |
59319000/5887 |
j-invariant |
L |
4.3397145408203 |
L(r)(E,1)/r! |
Ω |
1.8701333978744 |
Real period |
R |
2.3205374257132 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999461 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
58464e2 116928cu2 58464q2 |
Quadratic twists by: -4 8 -3 |