Atkin-Lehner |
2+ 3- 5- 7+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
19530u |
Isogeny class |
Conductor |
19530 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
98304 |
Modular degree for the optimal curve |
Δ |
-1744405711631100 = -1 · 22 · 314 · 52 · 76 · 31 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ 0 4 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,27846,-923072] |
[a1,a2,a3,a4,a6] |
Generators |
[42:544:1] |
Generators of the group modulo torsion |
j |
3275486903156831/2392874775900 |
j-invariant |
L |
4.2892984655745 |
L(r)(E,1)/r! |
Ω |
0.26459958623899 |
Real period |
R |
4.0526314936301 |
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 |
6510l1 97650ds1 |
Quadratic twists by: -3 5 |