Atkin-Lehner |
2+ 5- 61- |
Signs for the Atkin-Lehner involutions |
Class |
97600bp |
Isogeny class |
Conductor |
97600 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
14376960 |
Modular degree for the optimal curve |
Δ |
-1.1614733257933E+22 |
Discriminant |
Eigenvalues |
2+ 3 5- 2 3 0 -7 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-30143500,-63910570000] |
[a1,a2,a3,a4,a6] |
Generators |
[5849127438035008824167916835836693864:13301919925647401174237409556447785892:921951346901953028444708378739921] |
Generators of the group modulo torsion |
j |
-29580450758086905/113425129472 |
j-invariant |
L |
14.426134549743 |
L(r)(E,1)/r! |
Ω |
0.032208571539852 |
Real period |
R |
55.987171504538 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
97600cz1 3050e1 97600w1 |
Quadratic twists by: -4 8 5 |