Atkin-Lehner |
2+ 5- 13- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
24050k |
Isogeny class |
Conductor |
24050 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
163200 |
Modular degree for the optimal curve |
Δ |
-9745637200000000 = -1 · 210 · 58 · 13 · 374 |
Discriminant |
Eigenvalues |
2+ 2 5- -1 3 13- -1 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,26300,-4446000] |
[a1,a2,a3,a4,a6] |
Generators |
[360:7020:1] |
Generators of the group modulo torsion |
j |
5149975001495/24948831232 |
j-invariant |
L |
5.6636776934699 |
L(r)(E,1)/r! |
Ω |
0.20573014760997 |
Real period |
R |
2.2941369877267 |
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 |
24050o1 |
Quadratic twists by: 5 |