Atkin-Lehner |
2+ 3+ 5+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
129360t |
Isogeny class |
Conductor |
129360 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
1564738560 = 210 · 34 · 5 · 73 · 11 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- 11+ -6 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-296,-384] |
[a1,a2,a3,a4,a6] |
Generators |
[-12:36:1] [-7:36:1] |
Generators of the group modulo torsion |
j |
8193532/4455 |
j-invariant |
L |
9.4633680377309 |
L(r)(E,1)/r! |
Ω |
1.2275097242975 |
Real period |
R |
1.9273509301606 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000002226 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
64680db1 129360cu1 |
Quadratic twists by: -4 -7 |