Atkin-Lehner |
11+ 17- 19- |
Signs for the Atkin-Lehner involutions |
Class |
60401f |
Isogeny class |
Conductor |
60401 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
3877632 |
Modular degree for the optimal curve |
Δ |
-4.3680845107847E+20 |
Discriminant |
Eigenvalues |
-1 3 1 -2 11+ 4 17- 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-6282192,-6141871418] |
[a1,a2,a3,a4,a6] |
Generators |
[105202440893505366:3432819348802059353:30564477129096] |
Generators of the group modulo torsion |
j |
-3930663741223761/62618067611 |
j-invariant |
L |
7.2225617513682 |
L(r)(E,1)/r! |
Ω |
0.047635504698644 |
Real period |
R |
25.270232770914 |
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 |
60401m1 |
Quadratic twists by: 17 |