Atkin-Lehner |
2+ 3- 11- 17- 31- |
Signs for the Atkin-Lehner involutions |
Class |
104346bd |
Isogeny class |
Conductor |
104346 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
354816 |
Modular degree for the optimal curve |
Δ |
-432705553398558 = -1 · 2 · 317 · 11 · 173 · 31 |
Discriminant |
Eigenvalues |
2+ 3- 0 -3 11- -2 17- 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-35442,2765178] |
[a1,a2,a3,a4,a6] |
Generators |
[717:18231:1] |
Generators of the group modulo torsion |
j |
-6753948429390625/593560429902 |
j-invariant |
L |
3.7172524921036 |
L(r)(E,1)/r! |
Ω |
0.51804155190757 |
Real period |
R |
0.59796562760765 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999772535 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
34782z1 |
Quadratic twists by: -3 |