Atkin-Lehner |
2+ 3+ 5- 7- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
122010f |
Isogeny class |
Conductor |
122010 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-20679498264915000 = -1 · 23 · 36 · 54 · 77 · 832 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- -6 2 -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-42557,-7717611] |
[a1,a2,a3,a4,a6] |
Generators |
[503:9671:1] |
Generators of the group modulo torsion |
j |
-72454344765769/175772835000 |
j-invariant |
L |
2.9424399825379 |
L(r)(E,1)/r! |
Ω |
0.15499338470227 |
Real period |
R |
1.1865183736954 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000008599 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
17430l2 |
Quadratic twists by: -7 |