Atkin-Lehner |
2- 3- 5- 23- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
20010bb |
Isogeny class |
Conductor |
20010 |
Conductor |
∏ cp |
768 |
Product of Tamagawa factors cp |
deg |
122880 |
Modular degree for the optimal curve |
Δ |
-1357952134348800 = -1 · 216 · 34 · 52 · 233 · 292 |
Discriminant |
Eigenvalues |
2- 3- 5- -4 -2 2 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-15935,-1935975] |
[a1,a2,a3,a4,a6] |
Generators |
[190:1285:1] |
Generators of the group modulo torsion |
j |
-447488232172809841/1357952134348800 |
j-invariant |
L |
8.806670592965 |
L(r)(E,1)/r! |
Ω |
0.1962961947913 |
Real period |
R |
0.23366767783651 |
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 |
60030p1 100050f1 |
Quadratic twists by: -3 5 |