Atkin-Lehner |
2+ 3- 5+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
23400n |
Isogeny class |
Conductor |
23400 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
147456 |
Modular degree for the optimal curve |
Δ |
42646500000000 = 28 · 38 · 59 · 13 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 0 13- 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1097175,-442345750] |
[a1,a2,a3,a4,a6] |
Generators |
[664044164435:2840594761600:545338513] |
Generators of the group modulo torsion |
j |
50091484483024/14625 |
j-invariant |
L |
5.4923896036338 |
L(r)(E,1)/r! |
Ω |
0.1475130988521 |
Real period |
R |
18.616616579727 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
46800ba1 7800o1 4680r1 |
Quadratic twists by: -4 -3 5 |