Atkin-Lehner |
17+ 101- |
Signs for the Atkin-Lehner involutions |
Class |
29189c |
Isogeny class |
Conductor |
29189 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
94464 |
Modular degree for the optimal curve |
Δ |
422772345130573 = 177 · 1013 |
Discriminant |
Eigenvalues |
0 -1 0 -5 -3 -1 17+ 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-26973,-1379796] |
[a1,a2,a3,a4,a6] |
Generators |
[5658:-145949:8] [-66:329:1] |
Generators of the group modulo torsion |
j |
89915392000/17515117 |
j-invariant |
L |
4.7432003053263 |
L(r)(E,1)/r! |
Ω |
0.37758745674543 |
Real period |
R |
2.0936431284955 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999988 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1717a1 |
Quadratic twists by: 17 |