Atkin-Lehner |
2+ 3+ 5+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
21840c |
Isogeny class |
Conductor |
21840 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
43008 |
Modular degree for the optimal curve |
Δ |
13863281250000 = 24 · 3 · 512 · 7 · 132 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- -4 13+ -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-6391,-79034] |
[a1,a2,a3,a4,a6] |
j |
1804588288006144/866455078125 |
j-invariant |
L |
0.5600335710767 |
L(r)(E,1)/r! |
Ω |
0.56003357107668 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10920o1 87360hf1 65520bl1 109200bs1 |
Quadratic twists by: -4 8 -3 5 |