Atkin-Lehner |
2- 3+ 5+ 7- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
123900f |
Isogeny class |
Conductor |
123900 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
179712 |
Modular degree for the optimal curve |
Δ |
4111931250000 = 24 · 33 · 58 · 7 · 592 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 0 2 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-4033,15562] |
[a1,a2,a3,a4,a6] |
Generators |
[-63:125:1] |
Generators of the group modulo torsion |
j |
29025255424/16447725 |
j-invariant |
L |
6.6584970767168 |
L(r)(E,1)/r! |
Ω |
0.67161778686555 |
Real period |
R |
1.6523527736801 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999982513 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
24780h1 |
Quadratic twists by: 5 |