Atkin-Lehner |
2+ 3- 7- 11- 79- |
Signs for the Atkin-Lehner involutions |
Class |
109494z |
Isogeny class |
Conductor |
109494 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
705024 |
Modular degree for the optimal curve |
Δ |
-2678127768239616 = -1 · 29 · 39 · 72 · 11 · 793 |
Discriminant |
Eigenvalues |
2+ 3- -3 7- 11- -1 0 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-35721,3607821] |
[a1,a2,a3,a4,a6] |
Generators |
[-105:2541:1] |
Generators of the group modulo torsion |
j |
-6914708041335697/3673700642304 |
j-invariant |
L |
3.3761380104925 |
L(r)(E,1)/r! |
Ω |
0.42304430190329 |
Real period |
R |
0.66504816051102 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999791094 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
36498bj1 |
Quadratic twists by: -3 |