Atkin-Lehner |
2- 5+ 17+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
24650bb |
Isogeny class |
Conductor |
24650 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
116928 |
Modular degree for the optimal curve |
Δ |
-956146961612800 = -1 · 228 · 52 · 173 · 29 |
Discriminant |
Eigenvalues |
2- 0 5+ 0 4 -7 17+ 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,24590,-108303] |
[a1,a2,a3,a4,a6] |
Generators |
[225:3983:1] |
Generators of the group modulo torsion |
j |
65777270372563815/38245878464512 |
j-invariant |
L |
7.7937732325612 |
L(r)(E,1)/r! |
Ω |
0.29333781699 |
Real period |
R |
0.94890269136191 |
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 |
24650r1 |
Quadratic twists by: 5 |