Atkin-Lehner |
2+ 3- 5+ 17- 43- |
Signs for the Atkin-Lehner involutions |
Class |
65790x |
Isogeny class |
Conductor |
65790 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1200640 |
Modular degree for the optimal curve |
Δ |
-83584625291718750 = -1 · 2 · 316 · 57 · 172 · 43 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 5 -2 -1 17- 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-194490,35873050] |
[a1,a2,a3,a4,a6] |
j |
-1116064434736859041/114656550468750 |
j-invariant |
L |
1.3317580395502 |
L(r)(E,1)/r! |
Ω |
0.33293950788798 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
21930bd1 |
Quadratic twists by: -3 |