Atkin-Lehner |
2- 3- 7- 11- 79+ |
Signs for the Atkin-Lehner involutions |
Class |
109494cn |
Isogeny class |
Conductor |
109494 |
Conductor |
∏ cp |
102 |
Product of Tamagawa factors cp |
deg |
8763840 |
Modular degree for the optimal curve |
Δ |
-9.4317864474502E+21 |
Discriminant |
Eigenvalues |
2- 3- -2 7- 11- 1 -8 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-6899576,8397668027] |
[a1,a2,a3,a4,a6] |
Generators |
[1405:37713:1] |
Generators of the group modulo torsion |
j |
-49826838630005468394553/12937978665912504512 |
j-invariant |
L |
9.2067239842312 |
L(r)(E,1)/r! |
Ω |
0.12320862366397 |
Real period |
R |
0.73259482245354 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000007484 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12166i1 |
Quadratic twists by: -3 |