Atkin-Lehner |
3+ 5+ 23- 59- |
Signs for the Atkin-Lehner involutions |
Class |
101775f |
Isogeny class |
Conductor |
101775 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
184320 |
Modular degree for the optimal curve |
Δ |
-25761796875 = -1 · 35 · 57 · 23 · 59 |
Discriminant |
Eigenvalues |
-1 3+ 5+ 5 2 -7 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-4313,-111094] |
[a1,a2,a3,a4,a6] |
Generators |
[125:1087:1] |
Generators of the group modulo torsion |
j |
-567869252041/1648755 |
j-invariant |
L |
3.6331993311181 |
L(r)(E,1)/r! |
Ω |
0.29450905535 |
Real period |
R |
3.0841150937063 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000109451 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
20355e1 |
Quadratic twists by: 5 |