Atkin-Lehner |
2- 3- 5- 11- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
60390bj |
Isogeny class |
Conductor |
60390 |
Conductor |
∏ cp |
44 |
Product of Tamagawa factors cp |
deg |
63360 |
Modular degree for the optimal curve |
Δ |
-55098869760 = -1 · 211 · 36 · 5 · 112 · 61 |
Discriminant |
Eigenvalues |
2- 3- 5- 2 11- 3 1 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-662,-12891] |
[a1,a2,a3,a4,a6] |
Generators |
[89:747:1] |
Generators of the group modulo torsion |
j |
-43949604889/75581440 |
j-invariant |
L |
11.777959535983 |
L(r)(E,1)/r! |
Ω |
0.44469142388094 |
Real period |
R |
0.60194751724888 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999278 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6710b1 |
Quadratic twists by: -3 |