Atkin-Lehner |
2- 3+ 5- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
129360fg |
Isogeny class |
Conductor |
129360 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
Δ |
-717171840000000000 = -1 · 216 · 33 · 510 · 73 · 112 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 11- 0 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,177840,-28814400] |
[a1,a2,a3,a4,a6] |
Generators |
[530:14630:1] |
Generators of the group modulo torsion |
j |
442746922510313/510468750000 |
j-invariant |
L |
7.3173419909192 |
L(r)(E,1)/r! |
Ω |
0.15366616939146 |
Real period |
R |
2.3809215487535 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000151077 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16170cd2 129360gg2 |
Quadratic twists by: -4 -7 |