Atkin-Lehner |
3+ 5- 17+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
125715r |
Isogeny class |
Conductor |
125715 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
170640 |
Modular degree for the optimal curve |
Δ |
-254572875 = -1 · 35 · 53 · 172 · 29 |
Discriminant |
Eigenvalues |
-2 3+ 5- 2 4 2 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-8120,-278944] |
[a1,a2,a3,a4,a6] |
Generators |
[890:3411:8] |
Generators of the group modulo torsion |
j |
-204902586486784/880875 |
j-invariant |
L |
4.0788020379893 |
L(r)(E,1)/r! |
Ω |
0.25146409449528 |
Real period |
R |
5.406738725896 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000157765 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
125715x1 |
Quadratic twists by: 17 |