Atkin-Lehner |
3+ 7- 11- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
78771i |
Isogeny class |
Conductor |
78771 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
184320 |
Modular degree for the optimal curve |
Δ |
-1255928683779 = -1 · 33 · 7 · 118 · 31 |
Discriminant |
Eigenvalues |
2 3+ 3 7- 11- 1 0 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,686,-53703] |
[a1,a2,a3,a4,a6] |
Generators |
[1619400:91062771:512] |
Generators of the group modulo torsion |
j |
20123648/708939 |
j-invariant |
L |
14.31254282439 |
L(r)(E,1)/r! |
Ω |
0.41469941171399 |
Real period |
R |
8.6282632791513 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000335 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7161a1 |
Quadratic twists by: -11 |