Atkin-Lehner |
2- 3+ 19+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
125856v |
Isogeny class |
Conductor |
125856 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
472320 |
Modular degree for the optimal curve |
Δ |
-2329691217408 = -1 · 29 · 39 · 19 · 233 |
Discriminant |
Eigenvalues |
2- 3+ 0 2 2 -7 -3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-254475,-49410162] |
[a1,a2,a3,a4,a6] |
Generators |
[2761:142462:1] |
Generators of the group modulo torsion |
j |
-180841386375000/231173 |
j-invariant |
L |
6.6831894467712 |
L(r)(E,1)/r! |
Ω |
0.10628163943411 |
Real period |
R |
5.2401567851111 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999979207 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
125856x1 125856a1 |
Quadratic twists by: -4 -3 |