Atkin-Lehner |
2+ 5- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
5840a |
Isogeny class |
Conductor |
5840 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
5440 |
Modular degree for the optimal curve |
Δ |
467200000 = 211 · 55 · 73 |
Discriminant |
Eigenvalues |
2+ -3 5- -3 -3 -4 -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-787,8434] |
[a1,a2,a3,a4,a6] |
Generators |
[53:-340:1] [-2:100:1] |
Generators of the group modulo torsion |
j |
26321943762/228125 |
j-invariant |
L |
3.3545677284323 |
L(r)(E,1)/r! |
Ω |
1.6720979334438 |
Real period |
R |
0.10031014515772 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999966 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2920a1 23360q1 52560b1 29200c1 |
Quadratic twists by: -4 8 -3 5 |