Atkin-Lehner |
2+ 3- 5+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
129360by |
Isogeny class |
Conductor |
129360 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
884736 |
Modular degree for the optimal curve |
Δ |
279044839458000 = 24 · 34 · 53 · 76 · 114 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 11+ 6 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-167351,26282640] |
[a1,a2,a3,a4,a6] |
Generators |
[304:1896:1] |
Generators of the group modulo torsion |
j |
275361373935616/148240125 |
j-invariant |
L |
9.5100250790761 |
L(r)(E,1)/r! |
Ω |
0.54228049182097 |
Real period |
R |
4.3842740009085 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000003482 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
64680bn1 2640e1 |
Quadratic twists by: -4 -7 |