Atkin-Lehner |
2- 3- 19- 23- |
Signs for the Atkin-Lehner involutions |
Class |
20976o |
Isogeny class |
Conductor |
20976 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
deg |
158400 |
Modular degree for the optimal curve |
Δ |
-17359258243694592 = -1 · 217 · 3 · 193 · 235 |
Discriminant |
Eigenvalues |
2- 3- 2 0 -6 7 -1 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-37392,-6935532] |
[a1,a2,a3,a4,a6] |
Generators |
[14934:321632:27] |
Generators of the group modulo torsion |
j |
-1411599396089233/4238100157152 |
j-invariant |
L |
7.2176499802215 |
L(r)(E,1)/r! |
Ω |
0.1586735889258 |
Real period |
R |
0.75812343535809 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2622a1 83904bc1 62928bh1 |
Quadratic twists by: -4 8 -3 |