Atkin-Lehner |
3- 7- 17+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
77469r |
Isogeny class |
Conductor |
77469 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
Δ |
112951665671733 = 37 · 78 · 172 · 31 |
Discriminant |
Eigenvalues |
1 3- 2 7- 0 0 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-17717495,-28706081407] |
[a1,a2,a3,a4,a6] |
Generators |
[18077364:-9615520319:64] |
Generators of the group modulo torsion |
j |
5228082033188006033497/960073317 |
j-invariant |
L |
10.848393302138 |
L(r)(E,1)/r! |
Ω |
0.073586640780985 |
Real period |
R |
10.530243363472 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001844 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11067d2 |
Quadratic twists by: -7 |