Atkin-Lehner |
2+ 3- 13+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
14274d |
Isogeny class |
Conductor |
14274 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
102829581972 = 22 · 312 · 13 · 612 |
Discriminant |
Eigenvalues |
2+ 3- 0 -2 -4 13+ -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-2187,36769] |
[a1,a2,a3,a4,a6] |
Generators |
[-40:263:1] [-25:287:1] |
Generators of the group modulo torsion |
j |
1587282504625/141055668 |
j-invariant |
L |
4.8518263405206 |
L(r)(E,1)/r! |
Ω |
1.0345023396595 |
Real period |
R |
1.1725025054361 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999991 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
114192bh2 4758d2 |
Quadratic twists by: -4 -3 |