Atkin-Lehner |
3- 11+ 13- 23- |
Signs for the Atkin-Lehner involutions |
Class |
29601d |
Isogeny class |
Conductor |
29601 |
Conductor |
∏ cp |
42 |
Product of Tamagawa factors cp |
deg |
295680 |
Modular degree for the optimal curve |
Δ |
-55099758722691969 = -1 · 38 · 11 · 137 · 233 |
Discriminant |
Eigenvalues |
1 3- 3 3 11+ 13- -2 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-365328,-85646723] |
[a1,a2,a3,a4,a6] |
j |
-7396831582983827713/75582659427561 |
j-invariant |
L |
4.0755243833951 |
L(r)(E,1)/r! |
Ω |
0.097036294842721 |
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 |
9867h1 |
Quadratic twists by: -3 |