Atkin-Lehner |
2- 3- 5- 11+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
20130r |
Isogeny class |
Conductor |
20130 |
Conductor |
∏ cp |
714 |
Product of Tamagawa factors cp |
deg |
79968 |
Modular degree for the optimal curve |
Δ |
-264474574848000 = -1 · 217 · 37 · 53 · 112 · 61 |
Discriminant |
Eigenvalues |
2- 3- 5- -3 11+ -1 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-9730,864452] |
[a1,a2,a3,a4,a6] |
Generators |
[104:938:1] |
Generators of the group modulo torsion |
j |
-101874390302149921/264474574848000 |
j-invariant |
L |
9.1214556004187 |
L(r)(E,1)/r! |
Ω |
0.48737035047609 |
Real period |
R |
0.026212402718521 |
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 |
60390j1 100650d1 |
Quadratic twists by: -3 5 |