Atkin-Lehner |
3- 5+ 7- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
24675s |
Isogeny class |
Conductor |
24675 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
41472 |
Modular degree for the optimal curve |
Δ |
-6801046875 = -1 · 33 · 56 · 73 · 47 |
Discriminant |
Eigenvalues |
-2 3- 5+ 7- 3 -6 -3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-5208,142994] |
[a1,a2,a3,a4,a6] |
Generators |
[63:262:1] |
Generators of the group modulo torsion |
j |
-1000000000000/435267 |
j-invariant |
L |
3.4133286105933 |
L(r)(E,1)/r! |
Ω |
1.3100896457472 |
Real period |
R |
0.14474533698572 |
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 |
74025bd1 987c1 |
Quadratic twists by: -3 5 |