Atkin-Lehner |
2+ 3+ 11+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
49104a |
Isogeny class |
Conductor |
49104 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
9216 |
Modular degree for the optimal curve |
Δ |
1620432 = 24 · 33 · 112 · 31 |
Discriminant |
Eigenvalues |
2+ 3+ -4 4 11+ 0 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-42,-85] |
[a1,a2,a3,a4,a6] |
Generators |
[11:28:1] |
Generators of the group modulo torsion |
j |
18966528/3751 |
j-invariant |
L |
5.0959460054136 |
L(r)(E,1)/r! |
Ω |
1.9012679845421 |
Real period |
R |
2.6802881270995 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000022 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
24552l1 49104d1 |
Quadratic twists by: -4 -3 |