Atkin-Lehner |
2- 3- 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
129360gq |
Isogeny class |
Conductor |
129360 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-7968576000000 = -1 · 212 · 3 · 56 · 73 · 112 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 11- 4 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1416,136884] |
[a1,a2,a3,a4,a6] |
Generators |
[20:342:1] |
Generators of the group modulo torsion |
j |
-223648543/5671875 |
j-invariant |
L |
9.1595198494192 |
L(r)(E,1)/r! |
Ω |
0.61872962310833 |
Real period |
R |
3.7009379539444 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000007408 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8085e2 129360fs2 |
Quadratic twists by: -4 -7 |