Atkin-Lehner |
2+ 3- 5+ 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
19530q |
Isogeny class |
Conductor |
19530 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
304128 |
Modular degree for the optimal curve |
Δ |
472361766912000000 = 218 · 312 · 56 · 7 · 31 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 0 2 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-594270,173349396] |
[a1,a2,a3,a4,a6] |
j |
31838163966219633121/647958528000000 |
j-invariant |
L |
1.182284430677 |
L(r)(E,1)/r! |
Ω |
0.29557110766925 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6510bd1 97650df1 |
Quadratic twists by: -3 5 |