Atkin-Lehner |
2+ 5+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
46400d |
Isogeny class |
Conductor |
46400 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
130560 |
Modular degree for the optimal curve |
Δ |
-1076480000000000 = -1 · 217 · 510 · 292 |
Discriminant |
Eigenvalues |
2+ 1 5+ 0 -5 4 -3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-20833,1950463] |
[a1,a2,a3,a4,a6] |
Generators |
[42:1073:1] |
Generators of the group modulo torsion |
j |
-781250/841 |
j-invariant |
L |
6.2140385454756 |
L(r)(E,1)/r! |
Ω |
0.44584640349351 |
Real period |
R |
3.4844054459004 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000006 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
46400bo1 5800d1 46400bd1 |
Quadratic twists by: -4 8 5 |