Atkin-Lehner |
3+ 5- 7+ 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
98175l |
Isogeny class |
Conductor |
98175 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
288000 |
Modular degree for the optimal curve |
Δ |
-9309751171875 = -1 · 32 · 58 · 72 · 11 · 173 |
Discriminant |
Eigenvalues |
2 3+ 5- 7+ 11- -2 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,3292,126443] |
[a1,a2,a3,a4,a6] |
Generators |
[314:4483:8] |
Generators of the group modulo torsion |
j |
10097438720/23832963 |
j-invariant |
L |
10.188083233736 |
L(r)(E,1)/r! |
Ω |
0.50805411209191 |
Real period |
R |
5.013286469231 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000001039 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
98175bn1 |
Quadratic twists by: 5 |