Atkin-Lehner |
2- 3+ 7- 11+ 79+ |
Signs for the Atkin-Lehner involutions |
Class |
109494be |
Isogeny class |
Conductor |
109494 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
140544 |
Modular degree for the optimal curve |
Δ |
-6704974584 = -1 · 23 · 39 · 72 · 11 · 79 |
Discriminant |
Eigenvalues |
2- 3+ -1 7- 11+ 1 -4 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-8318,294085] |
[a1,a2,a3,a4,a6] |
Generators |
[55:-1:1] |
Generators of the group modulo torsion |
j |
-3233256941403/340648 |
j-invariant |
L |
10.209826505603 |
L(r)(E,1)/r! |
Ω |
1.2782730563874 |
Real period |
R |
0.66560025769758 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999967983 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
109494f1 |
Quadratic twists by: -3 |