Atkin-Lehner |
3+ 5+ 17- 79- |
Signs for the Atkin-Lehner involutions |
Class |
20145d |
Isogeny class |
Conductor |
20145 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
9792 |
Modular degree for the optimal curve |
Δ |
-44057115 = -1 · 38 · 5 · 17 · 79 |
Discriminant |
Eigenvalues |
-2 3+ 5+ -4 0 2 17- -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,64,-274] |
[a1,a2,a3,a4,a6] |
Generators |
[11:40:1] |
Generators of the group modulo torsion |
j |
28540399616/44057115 |
j-invariant |
L |
1.238340789505 |
L(r)(E,1)/r! |
Ω |
1.0705883668535 |
Real period |
R |
0.57834590205032 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
60435j1 100725o1 |
Quadratic twists by: -3 5 |