Atkin-Lehner |
2+ 3+ 5+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
29040b |
Isogeny class |
Conductor |
29040 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
13824 |
Modular degree for the optimal curve |
Δ |
-388119600 = -1 · 24 · 36 · 52 · 113 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 0 11+ -2 0 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-491,-4134] |
[a1,a2,a3,a4,a6] |
Generators |
[106:1060:1] |
Generators of the group modulo torsion |
j |
-615962624/18225 |
j-invariant |
L |
4.0191305351848 |
L(r)(E,1)/r! |
Ω |
0.50613754978583 |
Real period |
R |
3.9703935589105 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14520bj1 116160ii1 87120bq1 29040a1 |
Quadratic twists by: -4 8 -3 -11 |