Atkin-Lehner |
2- 3+ 7- 13- 23- |
Signs for the Atkin-Lehner involutions |
Class |
12558p |
Isogeny class |
Conductor |
12558 |
Conductor |
∏ cp |
384 |
Product of Tamagawa factors cp |
deg |
1400832 |
Modular degree for the optimal curve |
Δ |
1.406933849253E+19 |
Discriminant |
Eigenvalues |
2- 3+ -2 7- 0 13- -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-68267119,-217131195595] |
[a1,a2,a3,a4,a6] |
Generators |
[-4769:2566:1] |
Generators of the group modulo torsion |
j |
35185071518153330625706314097/14069338492530327552 |
j-invariant |
L |
5.4253190538934 |
L(r)(E,1)/r! |
Ω |
0.052522654984698 |
Real period |
R |
1.0759878791578 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
100464bp1 37674i1 87906bp1 |
Quadratic twists by: -4 -3 -7 |