Atkin-Lehner |
2- 3- 7+ 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
62244j |
Isogeny class |
Conductor |
62244 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
19584 |
Modular degree for the optimal curve |
Δ |
-141169392 = -1 · 24 · 36 · 72 · 13 · 19 |
Discriminant |
Eigenvalues |
2- 3- 2 7+ 0 13+ 5 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-129,-803] |
[a1,a2,a3,a4,a6] |
Generators |
[36:203:1] |
Generators of the group modulo torsion |
j |
-20353792/12103 |
j-invariant |
L |
7.6940153732839 |
L(r)(E,1)/r! |
Ω |
0.6895251572538 |
Real period |
R |
2.7896064748504 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000382 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6916a1 |
Quadratic twists by: -3 |