Atkin-Lehner |
2+ 3+ 5+ 7- 83- |
Signs for the Atkin-Lehner involutions |
Class |
17430b |
Isogeny class |
Conductor |
17430 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-114895019531250000 = -1 · 24 · 34 · 516 · 7 · 83 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- 0 2 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-23663,16358517] |
[a1,a2,a3,a4,a6] |
Generators |
[707:18452:1] |
Generators of the group modulo torsion |
j |
-1465418939014365049/114895019531250000 |
j-invariant |
L |
3.1098225522555 |
L(r)(E,1)/r! |
Ω |
0.27408769782811 |
Real period |
R |
5.673042929139 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
52290ci3 87150ch3 122010x3 |
Quadratic twists by: -3 5 -7 |