Atkin-Lehner |
2+ 3+ 19- 23- |
Signs for the Atkin-Lehner involutions |
Class |
125856c |
Isogeny class |
Conductor |
125856 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
157440 |
Modular degree for the optimal curve |
Δ |
-3195735552 = -1 · 29 · 33 · 19 · 233 |
Discriminant |
Eigenvalues |
2+ 3+ 0 -2 2 -7 3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-28275,-1830006] |
[a1,a2,a3,a4,a6] |
Generators |
[4434:98877:8] |
Generators of the group modulo torsion |
j |
-180841386375000/231173 |
j-invariant |
L |
5.7718208588167 |
L(r)(E,1)/r! |
Ω |
0.1840851994116 |
Real period |
R |
5.2256789421783 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999272767 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
125856a1 125856x1 |
Quadratic twists by: -4 -3 |