Atkin-Lehner |
2- 3- 7+ 11- 79+ |
Signs for the Atkin-Lehner involutions |
Class |
109494bo |
Isogeny class |
Conductor |
109494 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
101376 |
Modular degree for the optimal curve |
Δ |
-47679819264 = -1 · 29 · 37 · 72 · 11 · 79 |
Discriminant |
Eigenvalues |
2- 3- -1 7+ 11- -5 0 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,787,5973] |
[a1,a2,a3,a4,a6] |
Generators |
[-7:12:1] [11:-132:1] |
Generators of the group modulo torsion |
j |
74035092599/65404416 |
j-invariant |
L |
16.014123642896 |
L(r)(E,1)/r! |
Ω |
0.73694491666382 |
Real period |
R |
0.30181140940183 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999990685 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
36498b1 |
Quadratic twists by: -3 |