Atkin-Lehner |
2- 5- 13- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
29900n |
Isogeny class |
Conductor |
29900 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
26880 |
Modular degree for the optimal curve |
Δ |
-21020896000 = -1 · 28 · 53 · 134 · 23 |
Discriminant |
Eigenvalues |
2- -2 5- 1 -4 13- -3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2893,59343] |
[a1,a2,a3,a4,a6] |
Generators |
[-62:65:1] [29:-26:1] |
Generators of the group modulo torsion |
j |
-83708420096/656903 |
j-invariant |
L |
6.222541708137 |
L(r)(E,1)/r! |
Ω |
1.2179105549332 |
Real period |
R |
0.21288309730313 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
119600cr1 29900l1 |
Quadratic twists by: -4 5 |