Atkin-Lehner |
2- 5- 7- 17- 19- |
Signs for the Atkin-Lehner involutions |
Class |
113050cy |
Isogeny class |
Conductor |
113050 |
Conductor |
∏ cp |
144 |
Product of Tamagawa factors cp |
deg |
221184 |
Modular degree for the optimal curve |
Δ |
-5443063570000 = -1 · 24 · 54 · 73 · 174 · 19 |
Discriminant |
Eigenvalues |
2- 0 5- 7- -2 -5 17- 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1705,115897] |
[a1,a2,a3,a4,a6] |
Generators |
[-7:-354:1] [-11:370:1] |
Generators of the group modulo torsion |
j |
-876552685425/8708901712 |
j-invariant |
L |
16.936473452979 |
L(r)(E,1)/r! |
Ω |
0.65044394895628 |
Real period |
R |
0.18082172824888 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999763 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
113050d1 |
Quadratic twists by: 5 |