Atkin-Lehner |
2+ 3- 5+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
23400n |
Isogeny class |
Conductor |
23400 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
2494820250000000000 = 210 · 310 · 512 · 132 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 0 13- 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1101675,-438534250] |
[a1,a2,a3,a4,a6] |
Generators |
[-2457584:10419201:4096] |
Generators of the group modulo torsion |
j |
12677589459076/213890625 |
j-invariant |
L |
5.4923896036338 |
L(r)(E,1)/r! |
Ω |
0.1475130988521 |
Real period |
R |
9.3083082898636 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
46800ba2 7800o2 4680r2 |
Quadratic twists by: -4 -3 5 |