Atkin-Lehner |
2- 7- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
24304l |
Isogeny class |
Conductor |
24304 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
27648 |
Modular degree for the optimal curve |
Δ |
6692492541952 = 218 · 77 · 31 |
Discriminant |
Eigenvalues |
2- 0 0 7- 2 2 -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-5635,-104958] |
[a1,a2,a3,a4,a6] |
Generators |
[-62:78:1] |
Generators of the group modulo torsion |
j |
41063625/13888 |
j-invariant |
L |
4.9458548942225 |
L(r)(E,1)/r! |
Ω |
0.56610182281378 |
Real period |
R |
4.3683439046701 |
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 |
3038d1 97216bj1 3472f1 |
Quadratic twists by: -4 8 -7 |