Atkin-Lehner |
2- 3+ 5+ 7- 37- |
Signs for the Atkin-Lehner involutions |
Class |
77700i |
Isogeny class |
Conductor |
77700 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
7244748000000 = 28 · 33 · 56 · 72 · 372 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- -4 -2 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-176708,-28532088] |
[a1,a2,a3,a4,a6] |
Generators |
[-242:14:1] [486:378:1] |
Generators of the group modulo torsion |
j |
152557939042000/1811187 |
j-invariant |
L |
9.2542246175789 |
L(r)(E,1)/r! |
Ω |
0.2328550206731 |
Real period |
R |
6.6237385182634 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999552 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3108e2 |
Quadratic twists by: 5 |