Atkin-Lehner |
2- 3- 5+ 7- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
123900z |
Isogeny class |
Conductor |
123900 |
Conductor |
∏ cp |
504 |
Product of Tamagawa factors cp |
deg |
1451520 |
Modular degree for the optimal curve |
Δ |
303612068340000000 = 28 · 37 · 57 · 76 · 59 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- -3 -1 -7 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-197533,20888063] |
[a1,a2,a3,a4,a6] |
Generators |
[413:-3150:1] [-427:5250:1] |
Generators of the group modulo torsion |
j |
213100710682624/75903017085 |
j-invariant |
L |
14.388119942903 |
L(r)(E,1)/r! |
Ω |
0.28122284434926 |
Real period |
R |
0.10151329316017 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999957286 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
24780a1 |
Quadratic twists by: 5 |