Atkin-Lehner |
2- 3+ 17- 43- |
Signs for the Atkin-Lehner involutions |
Class |
74562x |
Isogeny class |
Conductor |
74562 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
6651216 |
Modular degree for the optimal curve |
Δ |
-6.972582506059E+20 |
Discriminant |
Eigenvalues |
2- 3+ 4 -1 -6 4 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-1338076,-1403750449] |
[a1,a2,a3,a4,a6] |
j |
-37981726740289/99954486162 |
j-invariant |
L |
4.8927903081959 |
L(r)(E,1)/r! |
Ω |
0.065237203266362 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
25 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
74562bi1 |
Quadratic twists by: 17 |