Atkin-Lehner |
2+ 3+ 5+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
21840c |
Isogeny class |
Conductor |
21840 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
50381604000000 = 28 · 32 · 56 · 72 · 134 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- -4 13+ -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-84516,-9422784] |
[a1,a2,a3,a4,a6] |
j |
260798860029250384/196803140625 |
j-invariant |
L |
0.5600335710767 |
L(r)(E,1)/r! |
Ω |
0.28001678553834 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
10920o2 87360hf2 65520bl2 109200bs2 |
Quadratic twists by: -4 8 -3 5 |