Atkin-Lehner |
3+ 11+ 83+ |
Signs for the Atkin-Lehner involutions |
Class |
2739a |
Isogeny class |
Conductor |
2739 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
3240 |
Modular degree for the optimal curve |
Δ |
6523320177 = 310 · 113 · 83 |
Discriminant |
Eigenvalues |
1 3+ -4 2 11+ 2 4 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-2382,-45585] |
[a1,a2,a3,a4,a6] |
Generators |
[109110:12688365:8] |
Generators of the group modulo torsion |
j |
1495663284827881/6523320177 |
j-invariant |
L |
2.7896453252113 |
L(r)(E,1)/r! |
Ω |
0.68352490513558 |
Real period |
R |
8.1625272298102 |
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 |
43824bm1 8217l1 68475e1 30129j1 |
Quadratic twists by: -4 -3 5 -11 |