Atkin-Lehner |
3- 5+ 7+ 13+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
94185o |
Isogeny class |
Conductor |
94185 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
96768 |
Modular degree for the optimal curve |
Δ |
-100893326625 = -1 · 36 · 53 · 7 · 13 · 233 |
Discriminant |
Eigenvalues |
-1 3- 5+ 7+ -6 13+ 2 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-803,17812] |
[a1,a2,a3,a4,a6] |
Generators |
[10:-109:1] |
Generators of the group modulo torsion |
j |
-78457720041/138399625 |
j-invariant |
L |
2.4701262541334 |
L(r)(E,1)/r! |
Ω |
0.95039650602603 |
Real period |
R |
0.43317468269181 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000009942 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10465d1 |
Quadratic twists by: -3 |