Atkin-Lehner |
2- 3- 5+ 23- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
20010w |
Isogeny class |
Conductor |
20010 |
Conductor |
∏ cp |
432 |
Product of Tamagawa factors cp |
deg |
46080 |
Modular degree for the optimal curve |
Δ |
-11935126180800 = -1 · 26 · 36 · 52 · 233 · 292 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 0 2 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,4249,127881] |
[a1,a2,a3,a4,a6] |
j |
8483547917294351/11935126180800 |
j-invariant |
L |
5.7965862400459 |
L(r)(E,1)/r! |
Ω |
0.48304885333716 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
6 |
Number of elements in the torsion subgroup |
Twists |
60030r1 100050c1 |
Quadratic twists by: -3 5 |