Atkin-Lehner |
2+ 5- 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
126350bi |
Isogeny class |
Conductor |
126350 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
1858032 |
Modular degree for the optimal curve |
Δ |
-2950717656320000 = -1 · 211 · 54 · 72 · 196 |
Discriminant |
Eigenvalues |
2+ 3 5- 7+ -5 6 -1 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-64867,-6858859] |
[a1,a2,a3,a4,a6] |
Generators |
[3809718:86388661:5832] |
Generators of the group modulo torsion |
j |
-1026590625/100352 |
j-invariant |
L |
9.3020595409614 |
L(r)(E,1)/r! |
Ω |
0.14875120157271 |
Real period |
R |
10.42239139381 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000088604 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
126350cz1 350f1 |
Quadratic twists by: 5 -19 |