Atkin-Lehner |
2- 3+ 5+ 7- 59- |
Signs for the Atkin-Lehner involutions |
Class |
123900n |
Isogeny class |
Conductor |
123900 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
440640 |
Modular degree for the optimal curve |
Δ |
-28201400866800 = -1 · 24 · 310 · 52 · 73 · 592 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- -5 -6 -4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-26958,1731717] |
[a1,a2,a3,a4,a6] |
Generators |
[71:413:1] [183:1701:1] |
Generators of the group modulo torsion |
j |
-5416800460000000/70503502167 |
j-invariant |
L |
9.8852435215393 |
L(r)(E,1)/r! |
Ω |
0.66712654837441 |
Real period |
R |
1.2348036449748 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.9999999998415 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
123900be1 |
Quadratic twists by: 5 |