Atkin-Lehner |
3+ 5- 17+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
125715n |
Isogeny class |
Conductor |
125715 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
103680 |
Modular degree for the optimal curve |
Δ |
-94498582635 = -1 · 33 · 5 · 176 · 29 |
Discriminant |
Eigenvalues |
0 3+ 5- -2 -3 2 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-3275,74741] |
[a1,a2,a3,a4,a6] |
Generators |
[91:722:1] |
Generators of the group modulo torsion |
j |
-160989184/3915 |
j-invariant |
L |
3.5518720109608 |
L(r)(E,1)/r! |
Ω |
1.067354894626 |
Real period |
R |
1.6638664501671 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000033168 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
435a1 |
Quadratic twists by: 17 |