Atkin-Lehner |
11+ 17- 19- |
Signs for the Atkin-Lehner involutions |
Class |
60401g |
Isogeny class |
Conductor |
60401 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
3583872 |
Modular degree for the optimal curve |
Δ |
-27700732798211 = -1 · 11 · 178 · 192 |
Discriminant |
Eigenvalues |
2 -1 -2 -4 11+ -6 17- 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-38290284,-91184330745] |
[a1,a2,a3,a4,a6] |
Generators |
[699985103191064:150778134135470313:14814434816] |
Generators of the group modulo torsion |
j |
-890016616697024512/3971 |
j-invariant |
L |
3.8597631738478 |
L(r)(E,1)/r! |
Ω |
0.030345717548585 |
Real period |
R |
21.198835100143 |
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 |
60401n1 |
Quadratic twists by: 17 |