Atkin-Lehner |
2- 3+ 5+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
129360dw |
Isogeny class |
Conductor |
129360 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
92160 |
Modular degree for the optimal curve |
Δ |
-74180198400 = -1 · 218 · 3 · 52 · 73 · 11 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 11+ -2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1416,24816] |
[a1,a2,a3,a4,a6] |
Generators |
[20:-64:1] |
Generators of the group modulo torsion |
j |
-223648543/52800 |
j-invariant |
L |
4.2962885580494 |
L(r)(E,1)/r! |
Ω |
1.0404487493129 |
Real period |
R |
1.0323162363177 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000023651 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16170v1 129360hg1 |
Quadratic twists by: -4 -7 |