Atkin-Lehner |
2- 3+ 5- 17+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
104550bo |
Isogeny class |
Conductor |
104550 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
175104 |
Modular degree for the optimal curve |
Δ |
63269478000 = 24 · 33 · 53 · 17 · 413 |
Discriminant |
Eigenvalues |
2- 3+ 5- -3 -3 3 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-8943,-329019] |
[a1,a2,a3,a4,a6] |
Generators |
[-55:42:1] |
Generators of the group modulo torsion |
j |
632799935945477/506155824 |
j-invariant |
L |
6.4833026721682 |
L(r)(E,1)/r! |
Ω |
0.49096365938732 |
Real period |
R |
1.6506574690444 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000032378 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
104550be1 |
Quadratic twists by: 5 |