Atkin-Lehner |
2+ 3- 19- |
Signs for the Atkin-Lehner involutions |
Class |
25992h |
Isogeny class |
Conductor |
25992 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
86400 |
Modular degree for the optimal curve |
Δ |
-1334543355353088 = -1 · 211 · 36 · 197 |
Discriminant |
Eigenvalues |
2+ 3- 0 3 -2 -1 5 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-27075,-2455522] |
[a1,a2,a3,a4,a6] |
Generators |
[1799642:50339284:2197] |
Generators of the group modulo torsion |
j |
-31250/19 |
j-invariant |
L |
5.9935102191131 |
L(r)(E,1)/r! |
Ω |
0.1810722110885 |
Real period |
R |
8.27502765759 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
51984s1 2888c1 1368h1 |
Quadratic twists by: -4 -3 -19 |