Atkin-Lehner |
2+ 3- 5+ 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
24150bf |
Isogeny class |
Conductor |
24150 |
Conductor |
∏ cp |
112 |
Product of Tamagawa factors cp |
deg |
161280 |
Modular degree for the optimal curve |
Δ |
197179920000000 = 210 · 37 · 57 · 72 · 23 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 0 -2 4 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-129126,-17857352] |
[a1,a2,a3,a4,a6] |
Generators |
[-208:216:1] |
Generators of the group modulo torsion |
j |
15238420194810961/12619514880 |
j-invariant |
L |
5.2048549825318 |
L(r)(E,1)/r! |
Ω |
0.25186517577654 |
Real period |
R |
0.73804438177863 |
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 |
72450el1 4830x1 |
Quadratic twists by: -3 5 |