Atkin-Lehner |
2+ 3- 5- 11- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
28710r |
Isogeny class |
Conductor |
28710 |
Conductor |
∏ cp |
200 |
Product of Tamagawa factors cp |
deg |
211200 |
Modular degree for the optimal curve |
Δ |
-1149112976962500 = -1 · 22 · 39 · 55 · 115 · 29 |
Discriminant |
Eigenvalues |
2+ 3- 5- -4 11- -5 -7 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,2871,1629153] |
[a1,a2,a3,a4,a6] |
Generators |
[-108:279:1] [-93:789:1] |
Generators of the group modulo torsion |
j |
3589307525231/1576286662500 |
j-invariant |
L |
5.9174454466204 |
L(r)(E,1)/r! |
Ω |
0.37949023769652 |
Real period |
R |
0.077965713723486 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.9999999999999 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9570z1 |
Quadratic twists by: -3 |