Atkin-Lehner |
5- 11- 17- 19- |
Signs for the Atkin-Lehner involutions |
Class |
17765h |
Isogeny class |
Conductor |
17765 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
22848 |
Modular degree for the optimal curve |
Δ |
-14305355075 = -1 · 52 · 116 · 17 · 19 |
Discriminant |
Eigenvalues |
2 1 5- -4 11- 4 17- 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-1110,14989] |
[a1,a2,a3,a4,a6] |
Generators |
[218:601:8] |
Generators of the group modulo torsion |
j |
-151385348878336/14305355075 |
j-invariant |
L |
11.028333099712 |
L(r)(E,1)/r! |
Ω |
1.2219904118889 |
Real period |
R |
0.75207444294816 |
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 |
88825m1 |
Quadratic twists by: 5 |