Atkin-Lehner |
2- 7- 11+ 79- |
Signs for the Atkin-Lehner involutions |
Class |
97328bb |
Isogeny class |
Conductor |
97328 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
110592 |
Modular degree for the optimal curve |
Δ |
-4243787333632 = -1 · 214 · 73 · 112 · 792 |
Discriminant |
Eigenvalues |
2- 0 0 7- 11+ -2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-9155,351426] |
[a1,a2,a3,a4,a6] |
Generators |
[47:-158:1] [17:448:1] |
Generators of the group modulo torsion |
j |
-20717569769625/1036080892 |
j-invariant |
L |
11.162826339996 |
L(r)(E,1)/r! |
Ω |
0.76983941086756 |
Real period |
R |
1.2083500989915 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000039 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12166d1 |
Quadratic twists by: -4 |