Atkin-Lehner |
2+ 3- 19+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
20178c |
Isogeny class |
Conductor |
20178 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
46080 |
Modular degree for the optimal curve |
Δ |
-7334816884632 = -1 · 23 · 316 · 192 · 59 |
Discriminant |
Eigenvalues |
2+ 3- 2 3 -1 1 3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-5391,201829] |
[a1,a2,a3,a4,a6] |
j |
-23771111713777/10061477208 |
j-invariant |
L |
2.7873925205483 |
L(r)(E,1)/r! |
Ω |
0.69684813013706 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6726e1 |
Quadratic twists by: -3 |