Atkin-Lehner |
2+ 3- 5- 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
14490bd |
Isogeny class |
Conductor |
14490 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
24576 |
Modular degree for the optimal curve |
Δ |
920172960000 = 28 · 36 · 54 · 73 · 23 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 0 -6 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-2679,27485] |
[a1,a2,a3,a4,a6] |
Generators |
[-34:297:1] |
Generators of the group modulo torsion |
j |
2917464019569/1262240000 |
j-invariant |
L |
3.7076963797432 |
L(r)(E,1)/r! |
Ω |
0.79714167845176 |
Real period |
R |
0.38760324126074 |
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 |
115920dz1 1610c1 72450dj1 101430bk1 |
Quadratic twists by: -4 -3 5 -7 |