Atkin-Lehner |
5- 13+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
24505f |
Isogeny class |
Conductor |
24505 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
64512 |
Modular degree for the optimal curve |
Δ |
6596437849625 = 53 · 137 · 292 |
Discriminant |
Eigenvalues |
-1 -2 5- 0 -6 13+ 4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-7355,-209600] |
[a1,a2,a3,a4,a6] |
Generators |
[-35:90:1] |
Generators of the group modulo torsion |
j |
9116230969/1366625 |
j-invariant |
L |
2.1757589046973 |
L(r)(E,1)/r! |
Ω |
0.52070830443289 |
Real period |
R |
1.392820053105 |
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 |
122525i1 1885d1 |
Quadratic twists by: 5 13 |