Atkin-Lehner |
2- 3- 5+ 7- 83- |
Signs for the Atkin-Lehner involutions |
Class |
122010cz |
Isogeny class |
Conductor |
122010 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-703677371514468750 = -1 · 2 · 34 · 56 · 79 · 832 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 0 -2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,222214,1833810] |
[a1,a2,a3,a4,a6] |
Generators |
[31156:945355:64] |
Generators of the group modulo torsion |
j |
30071526949673/17437781250 |
j-invariant |
L |
11.877253010102 |
L(r)(E,1)/r! |
Ω |
0.17178034413394 |
Real period |
R |
8.6427619328771 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000048263 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
122010ce2 |
Quadratic twists by: -7 |