Atkin-Lehner |
3+ 7- 37- |
Signs for the Atkin-Lehner involutions |
Class |
5439c |
Isogeny class |
Conductor |
5439 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
497196791847 = 32 · 79 · 372 |
Discriminant |
Eigenvalues |
1 3+ -4 7- 2 -2 -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-2622,-40095] |
[a1,a2,a3,a4,a6] |
Generators |
[-32:127:1] |
Generators of the group modulo torsion |
j |
49430863/12321 |
j-invariant |
L |
2.7598917239198 |
L(r)(E,1)/r! |
Ω |
0.6793332943345 |
Real period |
R |
2.0313237603226 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
87024em2 16317k2 5439g2 |
Quadratic twists by: -4 -3 -7 |