Atkin-Lehner |
2+ 3+ 19+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
14706b |
Isogeny class |
Conductor |
14706 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
194340047119704 = 23 · 39 · 192 · 434 |
Discriminant |
Eigenvalues |
2+ 3+ -2 -4 -2 0 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-20913,956645] |
[a1,a2,a3,a4,a6] |
Generators |
[41:388:1] [47:252:1] |
Generators of the group modulo torsion |
j |
51391715286339/9873497288 |
j-invariant |
L |
4.2835271484347 |
L(r)(E,1)/r! |
Ω |
0.53738002901287 |
Real period |
R |
1.9927830014002 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999988 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
117648q2 14706n2 |
Quadratic twists by: -4 -3 |