Atkin-Lehner |
2+ 3+ 5+ 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
129360b |
Isogeny class |
Conductor |
129360 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
225792 |
Modular degree for the optimal curve |
Δ |
-3698235137520 = -1 · 24 · 36 · 5 · 78 · 11 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7+ 11+ -3 -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-4916,163395] |
[a1,a2,a3,a4,a6] |
Generators |
[131:1323:1] |
Generators of the group modulo torsion |
j |
-142476544/40095 |
j-invariant |
L |
3.286831800668 |
L(r)(E,1)/r! |
Ω |
0.74726358554536 |
Real period |
R |
0.73308175447534 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999956957 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
64680cm1 129360cq1 |
Quadratic twists by: -4 -7 |