Atkin-Lehner |
11- 17+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
60401m |
Isogeny class |
Conductor |
60401 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
228096 |
Modular degree for the optimal curve |
Δ |
-18096621539579 = -1 · 113 · 172 · 196 |
Discriminant |
Eigenvalues |
-1 -3 -1 2 11- 4 17+ 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-21738,-1245012] |
[a1,a2,a3,a4,a6] |
Generators |
[419:7732:1] |
Generators of the group modulo torsion |
j |
-3930663741223761/62618067611 |
j-invariant |
L |
2.4685571782939 |
L(r)(E,1)/r! |
Ω |
0.19640621740211 |
Real period |
R |
0.69825725115314 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999991385 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
60401f1 |
Quadratic twists by: 17 |