Atkin-Lehner |
2- 5- 61- |
Signs for the Atkin-Lehner involutions |
Class |
97600cz |
Isogeny class |
Conductor |
97600 |
Conductor |
∏ cp |
16 |
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 |
[1794:124928:1] [2709:46177:1] |
Generators of the group modulo torsion |
j |
-29580450758086905/113425129472 |
j-invariant |
L |
5.9175296487949 |
L(r)(E,1)/r! |
Ω |
0.12789062871916 |
Real period |
R |
2.8918897873732 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999988108 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
97600bp1 24400bd1 97600ci1 |
Quadratic twists by: -4 8 5 |