Atkin-Lehner |
2+ 3- 7- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
15624l |
Isogeny class |
Conductor |
15624 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
27648 |
Modular degree for the optimal curve |
Δ |
1446607911168 = 28 · 312 · 73 · 31 |
Discriminant |
Eigenvalues |
2+ 3- 0 7- 2 -2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-31575,-2158774] |
[a1,a2,a3,a4,a6] |
Generators |
[1195:40824:1] |
Generators of the group modulo torsion |
j |
18654615250000/7751457 |
j-invariant |
L |
5.2247544884005 |
L(r)(E,1)/r! |
Ω |
0.35815790854543 |
Real period |
R |
2.4313086321894 |
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 |
31248j1 124992cl1 5208k1 109368q1 |
Quadratic twists by: -4 8 -3 -7 |