Atkin-Lehner |
2+ 3+ 11- 89- |
Signs for the Atkin-Lehner involutions |
Class |
5874b |
Isogeny class |
Conductor |
5874 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
704 |
Modular degree for the optimal curve |
Δ |
11748 = 22 · 3 · 11 · 89 |
Discriminant |
Eigenvalues |
2+ 3+ 0 -4 11- 2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-60,156] |
[a1,a2,a3,a4,a6] |
Generators |
[2:6:1] |
Generators of the group modulo torsion |
j |
24515367625/11748 |
j-invariant |
L |
2.1326024480526 |
L(r)(E,1)/r! |
Ω |
3.9640758919664 |
Real period |
R |
1.0759644901727 |
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 |
46992l1 17622i1 64614m1 |
Quadratic twists by: -4 -3 -11 |