Atkin-Lehner |
3- 7- 23+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
125097j |
Isogeny class |
Conductor |
125097 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
589824 |
Modular degree for the optimal curve |
Δ |
-7348375792905903 = -1 · 32 · 77 · 232 · 374 |
Discriminant |
Eigenvalues |
-1 3- -2 7- -4 -2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,11661,4096728] |
[a1,a2,a3,a4,a6] |
Generators |
[-73:1727:1] [33:2109:1] |
Generators of the group modulo torsion |
j |
1490529343967/62460163647 |
j-invariant |
L |
7.8597208881437 |
L(r)(E,1)/r! |
Ω |
0.31675645887892 |
Real period |
R |
6.2032838344447 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.000000000619 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
17871a1 |
Quadratic twists by: -7 |