Atkin-Lehner |
3- 7- 29+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
24969d |
Isogeny class |
Conductor |
24969 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
4896 |
Modular degree for the optimal curve |
Δ |
-297305883 = -1 · 36 · 73 · 29 · 41 |
Discriminant |
Eigenvalues |
0 3- 0 7- 3 -1 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,167,7] |
[a1,a2,a3,a4,a6] |
Generators |
[250:1529:8] |
Generators of the group modulo torsion |
j |
512000000000/297305883 |
j-invariant |
L |
5.8002742369896 |
L(r)(E,1)/r! |
Ω |
1.0238557430694 |
Real period |
R |
2.8325641948353 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
74907i1 |
Quadratic twists by: -3 |