Atkin-Lehner |
3+ 5- 7- 47- |
Signs for the Atkin-Lehner involutions |
Class |
24675o |
Isogeny class |
Conductor |
24675 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
112896 |
Modular degree for the optimal curve |
Δ |
-22715550970875 = -1 · 36 · 53 · 74 · 473 |
Discriminant |
Eigenvalues |
-2 3+ 5- 7- 0 -7 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-10248,463898] |
[a1,a2,a3,a4,a6] |
Generators |
[-102:661:1] [-88:822:1] |
Generators of the group modulo torsion |
j |
-952299216687104/181724407767 |
j-invariant |
L |
3.7132847944513 |
L(r)(E,1)/r! |
Ω |
0.64966172095127 |
Real period |
R |
0.11907750970939 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
74025bn1 24675v1 |
Quadratic twists by: -3 5 |