Atkin-Lehner |
2+ 3- 19- 59- |
Signs for the Atkin-Lehner involutions |
Class |
20178h |
Isogeny class |
Conductor |
20178 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
7680 |
Modular degree for the optimal curve |
Δ |
-496863072 = -1 · 25 · 36 · 192 · 59 |
Discriminant |
Eigenvalues |
2+ 3- 0 -3 -3 -1 -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,198,-108] |
[a1,a2,a3,a4,a6] |
Generators |
[1:9:1] [3:21:1] |
Generators of the group modulo torsion |
j |
1174241375/681568 |
j-invariant |
L |
5.2484253832489 |
L(r)(E,1)/r! |
Ω |
0.98144036141201 |
Real period |
R |
1.3369190807729 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999988 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2242a1 |
Quadratic twists by: -3 |