Atkin-Lehner |
2- 3+ 5+ 7+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
72240bk |
Isogeny class |
Conductor |
72240 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
59904 |
Modular degree for the optimal curve |
Δ |
19026210000 = 24 · 3 · 54 · 73 · 432 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ 2 6 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-701,-2424] |
[a1,a2,a3,a4,a6] |
Generators |
[11032:29240:343] |
Generators of the group modulo torsion |
j |
2384389341184/1189138125 |
j-invariant |
L |
5.6776729974566 |
L(r)(E,1)/r! |
Ω |
0.97691820960313 |
Real period |
R |
5.8118202125213 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001594 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
18060j1 |
Quadratic twists by: -4 |