Atkin-Lehner |
2- 3+ 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
10164c |
Isogeny class |
Conductor |
10164 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
31680 |
Modular degree for the optimal curve |
Δ |
-792270424176 = -1 · 24 · 3 · 7 · 119 |
Discriminant |
Eigenvalues |
2- 3+ -3 7+ 11+ -1 4 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-60782,-5747751] |
[a1,a2,a3,a4,a6] |
j |
-658266368/21 |
j-invariant |
L |
0.9121696877748 |
L(r)(E,1)/r! |
Ω |
0.1520282812958 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
40656cy1 30492m1 71148bq1 10164j1 |
Quadratic twists by: -4 -3 -7 -11 |