Atkin-Lehner |
2- 3+ 19- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
125856x |
Isogeny class |
Conductor |
125856 |
Conductor |
∏ cp |
2 |
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 |
[2322:243:8] |
Generators of the group modulo torsion |
j |
-180841386375000/231173 |
j-invariant |
L |
4.1446980132056 |
L(r)(E,1)/r! |
Ω |
0.69277146185377 |
Real period |
R |
2.9913891669837 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998089993 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
125856v1 125856c1 |
Quadratic twists by: -4 -3 |