Atkin-Lehner |
2+ 3+ 5- 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
21840g |
Isogeny class |
Conductor |
21840 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-2303159040000 = -1 · 211 · 32 · 54 · 7 · 134 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7+ 0 13- -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,1280,70432] |
[a1,a2,a3,a4,a6] |
Generators |
[-6:250:1] |
Generators of the group modulo torsion |
j |
113157757438/1124589375 |
j-invariant |
L |
4.5137726711758 |
L(r)(E,1)/r! |
Ω |
0.60183017227503 |
Real period |
R |
1.875019265864 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
10920u4 87360ft3 65520p3 109200bt3 |
Quadratic twists by: -4 8 -3 5 |