Atkin-Lehner |
2- 3- 5- 19+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
49590bx |
Isogeny class |
Conductor |
49590 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
618240 |
Modular degree for the optimal curve |
Δ |
-378153379280505330 = -1 · 2 · 329 · 5 · 19 · 29 |
Discriminant |
Eigenvalues |
2- 3- 5- -1 1 -4 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,175648,-8559579] |
[a1,a2,a3,a4,a6] |
j |
822106589215161671/518728915336770 |
j-invariant |
L |
3.1155164589342 |
L(r)(E,1)/r! |
Ω |
0.17308424768002 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
16530a1 |
Quadratic twists by: -3 |