Atkin-Lehner |
2+ 3- 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
22542p |
Isogeny class |
Conductor |
22542 |
Conductor |
∏ cp |
22 |
Product of Tamagawa factors cp |
deg |
19008 |
Modular degree for the optimal curve |
Δ |
10648660464 = 24 · 311 · 13 · 172 |
Discriminant |
Eigenvalues |
2+ 3- -3 3 -2 13- 17+ -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-780,6682] |
[a1,a2,a3,a4,a6] |
Generators |
[5:51:1] |
Generators of the group modulo torsion |
j |
181262952217/36846576 |
j-invariant |
L |
4.0092145276444 |
L(r)(E,1)/r! |
Ω |
1.2142456545952 |
Real period |
R |
0.15008250043488 |
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 |
67626bf1 22542g1 |
Quadratic twists by: -3 17 |