Atkin-Lehner |
2+ 5- 7- 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
17290h |
Isogeny class |
Conductor |
17290 |
Conductor |
∏ cp |
252 |
Product of Tamagawa factors cp |
deg |
233856 |
Modular degree for the optimal curve |
Δ |
-1909254325706000 = -1 · 24 · 53 · 77 · 132 · 193 |
Discriminant |
Eigenvalues |
2+ -3 5- 7- -2 13+ -7 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-38764,3622048] |
[a1,a2,a3,a4,a6] |
Generators |
[232:-2776:1] [-148:2544:1] |
Generators of the group modulo torsion |
j |
-6441926550902201241/1909254325706000 |
j-invariant |
L |
3.8125175725968 |
L(r)(E,1)/r! |
Ω |
0.44331902573172 |
Real period |
R |
0.034126750958913 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
86450bg1 121030i1 |
Quadratic twists by: 5 -7 |