Atkin-Lehner |
2- 5- 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
126350dr |
Isogeny class |
Conductor |
126350 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
1728000 |
Modular degree for the optimal curve |
Δ |
-782137771625000000 = -1 · 26 · 59 · 7 · 197 |
Discriminant |
Eigenvalues |
2- 1 5- 7- -2 2 -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,198362,25593892] |
[a1,a2,a3,a4,a6] |
Generators |
[-84:2930:1] |
Generators of the group modulo torsion |
j |
9393931/8512 |
j-invariant |
L |
13.278382840727 |
L(r)(E,1)/r! |
Ω |
0.1850503701201 |
Real period |
R |
1.4949063686138 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999653553 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
126350bg1 6650m1 |
Quadratic twists by: 5 -19 |