Atkin-Lehner |
3- 5+ 7- 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
98175bn |
Isogeny class |
Conductor |
98175 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
57600 |
Modular degree for the optimal curve |
Δ |
-595824075 = -1 · 32 · 52 · 72 · 11 · 173 |
Discriminant |
Eigenvalues |
-2 3- 5+ 7- 11- 2 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,132,1064] |
[a1,a2,a3,a4,a6] |
Generators |
[-3:25:1] |
Generators of the group modulo torsion |
j |
10097438720/23832963 |
j-invariant |
L |
4.4781464671891 |
L(r)(E,1)/r! |
Ω |
1.1360435308858 |
Real period |
R |
0.32848993942466 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000043446 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
98175l1 |
Quadratic twists by: 5 |