Atkin-Lehner |
11+ 17- 53- |
Signs for the Atkin-Lehner involutions |
Class |
109021c |
Isogeny class |
Conductor |
109021 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1638912 |
Modular degree for the optimal curve |
Δ |
-1914184293501491 = -1 · 119 · 172 · 532 |
Discriminant |
Eigenvalues |
0 -1 1 4 11+ 4 17- -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-5095955,-4426086930] |
[a1,a2,a3,a4,a6] |
Generators |
[55265110114:1228629691815:19465109] |
Generators of the group modulo torsion |
j |
-6206780453912576/811801 |
j-invariant |
L |
5.601496745694 |
L(r)(E,1)/r! |
Ω |
0.05024156424018 |
Real period |
R |
13.936411093104 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
109021a1 |
Quadratic twists by: -11 |