Atkin-Lehner |
2+ 3- 5+ 7+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
19530k |
Isogeny class |
Conductor |
19530 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
4947232991510880000 = 28 · 314 · 54 · 7 · 314 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ 0 -6 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-53774595,-151766270379] |
[a1,a2,a3,a4,a6] |
Generators |
[15318:1610541:1] |
Generators of the group modulo torsion |
j |
23589983275298076108694321/6786327834720000 |
j-invariant |
L |
2.8642571294254 |
L(r)(E,1)/r! |
Ω |
0.055751335442909 |
Real period |
R |
3.210973677436 |
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 |
6510ba3 97650ed4 |
Quadratic twists by: -3 5 |