Atkin-Lehner |
2- 3- 7- 11- 79+ |
Signs for the Atkin-Lehner involutions |
Class |
109494cp |
Isogeny class |
Conductor |
109494 |
Conductor |
∏ cp |
110 |
Product of Tamagawa factors cp |
deg |
478720 |
Modular degree for the optimal curve |
Δ |
-21805570676736 = -1 · 211 · 36 · 75 · 11 · 79 |
Discriminant |
Eigenvalues |
2- 3- -3 7- 11- -2 4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-43544,3515419] |
[a1,a2,a3,a4,a6] |
Generators |
[133:-319:1] |
Generators of the group modulo torsion |
j |
-12524828773793337/29911619584 |
j-invariant |
L |
8.7182664553756 |
L(r)(E,1)/r! |
Ω |
0.68090579682927 |
Real period |
R |
0.11639931391543 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000023238 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12166h1 |
Quadratic twists by: -3 |