Atkin-Lehner |
2- 3+ 5+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
43350cj |
Isogeny class |
Conductor |
43350 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
528768 |
Modular degree for the optimal curve |
Δ |
-188345450907000000 = -1 · 26 · 33 · 56 · 178 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 1 0 1 17- -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,140737,4855781] |
[a1,a2,a3,a4,a6] |
Generators |
[-25:1162:1] |
Generators of the group modulo torsion |
j |
2828375/1728 |
j-invariant |
L |
8.0555708227755 |
L(r)(E,1)/r! |
Ω |
0.1965762890658 |
Real period |
R |
3.4149467962569 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999896 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1734h1 43350cv1 |
Quadratic twists by: 5 17 |