Atkin-Lehner |
2+ 7- 11- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
95942p |
Isogeny class |
Conductor |
95942 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
208896 |
Modular degree for the optimal curve |
Δ |
-12167903825924 = -1 · 22 · 710 · 112 · 89 |
Discriminant |
Eigenvalues |
2+ 1 3 7- 11- 2 7 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-2182,-172532] |
[a1,a2,a3,a4,a6] |
Generators |
[74:232:1] |
Generators of the group modulo torsion |
j |
-9759185353/103425476 |
j-invariant |
L |
7.7358395484184 |
L(r)(E,1)/r! |
Ω |
0.30295623455194 |
Real period |
R |
1.5959069910468 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999980837 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13706g1 |
Quadratic twists by: -7 |