Atkin-Lehner |
2- 3- 5+ 7+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
23940l |
Isogeny class |
Conductor |
23940 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
43008 |
Modular degree for the optimal curve |
Δ |
-18956063070000 = -1 · 24 · 37 · 54 · 74 · 192 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 6 2 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,2832,-201283] |
[a1,a2,a3,a4,a6] |
Generators |
[91:900:1] |
Generators of the group modulo torsion |
j |
215355490304/1625176875 |
j-invariant |
L |
5.2465104326378 |
L(r)(E,1)/r! |
Ω |
0.34160819998038 |
Real period |
R |
1.9197835535487 |
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 |
95760eh1 7980a1 119700bg1 |
Quadratic twists by: -4 -3 5 |