Atkin-Lehner |
3+ 11+ 83+ |
Signs for the Atkin-Lehner involutions |
Class |
2739a |
Isogeny class |
Conductor |
2739 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
2965640946147 = 35 · 116 · 832 |
Discriminant |
Eigenvalues |
1 3+ -4 2 11+ 2 4 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-3597,4230] |
[a1,a2,a3,a4,a6] |
Generators |
[30:400:27] |
Generators of the group modulo torsion |
j |
5149127728497241/2965640946147 |
j-invariant |
L |
2.7896453252113 |
L(r)(E,1)/r! |
Ω |
0.68352490513558 |
Real period |
R |
4.0812636149051 |
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 |
43824bm2 8217l2 68475e2 30129j2 |
Quadratic twists by: -4 -3 5 -11 |