Atkin-Lehner |
2- 3+ 5+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
123210cb |
Isogeny class |
Conductor |
123210 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
794880 |
Modular degree for the optimal curve |
Δ |
-591408000000 = -1 · 210 · 33 · 56 · 372 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -1 -6 -5 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-191288,32249531] |
[a1,a2,a3,a4,a6] |
Generators |
[-275:8137:1] [225:-863:1] |
Generators of the group modulo torsion |
j |
-20941970847735483/16000000 |
j-invariant |
L |
15.622174657006 |
L(r)(E,1)/r! |
Ω |
0.76271219080767 |
Real period |
R |
0.51205995027125 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999981793 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
123210k2 123210l1 |
Quadratic twists by: -3 37 |