Atkin-Lehner |
5- 7+ 13+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
98735p |
Isogeny class |
Conductor |
98735 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
268800 |
Modular degree for the optimal curve |
Δ |
-11717067578125 = -1 · 58 · 74 · 13 · 312 |
Discriminant |
Eigenvalues |
-1 -2 5- 7+ -3 13+ -3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-13280,610525] |
[a1,a2,a3,a4,a6] |
Generators |
[-115:845:1] [25:530:1] |
Generators of the group modulo torsion |
j |
-107876741826721/4880078125 |
j-invariant |
L |
4.8042017431243 |
L(r)(E,1)/r! |
Ω |
0.708512760876 |
Real period |
R |
0.14126426765135 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000002828 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
98735k1 |
Quadratic twists by: -7 |