Atkin-Lehner |
3- 5- 7+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
24675w |
Isogeny class |
Conductor |
24675 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
20880 |
Modular degree for the optimal curve |
Δ |
-3469921875 = -1 · 33 · 58 · 7 · 47 |
Discriminant |
Eigenvalues |
2 3- 5- 7+ 5 -5 2 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-208,-3131] |
[a1,a2,a3,a4,a6] |
Generators |
[19010:11599:1000] |
Generators of the group modulo torsion |
j |
-2560000/8883 |
j-invariant |
L |
12.598031169569 |
L(r)(E,1)/r! |
Ω |
0.57709289688259 |
Real period |
R |
7.2767205173973 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
74025bl1 24675m1 |
Quadratic twists by: -3 5 |