Atkin-Lehner |
3+ 5+ 19- 71- |
Signs for the Atkin-Lehner involutions |
Class |
60705a |
Isogeny class |
Conductor |
60705 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
177408 |
Modular degree for the optimal curve |
Δ |
-1296502294921875 = -1 · 39 · 511 · 19 · 71 |
Discriminant |
Eigenvalues |
0 3+ 5+ 1 1 2 4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-7938,1753643] |
[a1,a2,a3,a4,a6] |
Generators |
[649:16430:1] |
Generators of the group modulo torsion |
j |
-2810384252928/65869140625 |
j-invariant |
L |
5.3338562306497 |
L(r)(E,1)/r! |
Ω |
0.40532670267885 |
Real period |
R |
6.5797000238044 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000226 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
60705b1 |
Quadratic twists by: -3 |