Atkin-Lehner |
2+ 3+ 5- 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
21840f |
Isogeny class |
Conductor |
21840 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
1192464000000 = 210 · 32 · 56 · 72 · 132 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7+ -4 13+ -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-4480,104272] |
[a1,a2,a3,a4,a6] |
Generators |
[-63:364:1] [-56:420:1] |
Generators of the group modulo torsion |
j |
9713030100484/1164515625 |
j-invariant |
L |
6.700607740262 |
L(r)(E,1)/r! |
Ω |
0.83605288340237 |
Real period |
R |
0.66788117048625 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999998 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
10920i2 87360fz2 65520o2 109200cb2 |
Quadratic twists by: -4 8 -3 5 |