Atkin-Lehner |
2- 3- 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
46800dl |
Isogeny class |
Conductor |
46800 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
124416 |
Modular degree for the optimal curve |
Δ |
-152810119987200 = -1 · 215 · 315 · 52 · 13 |
Discriminant |
Eigenvalues |
2- 3- 5+ -4 0 13+ 0 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,1725,-594110] |
[a1,a2,a3,a4,a6] |
Generators |
[206:2916:1] |
Generators of the group modulo torsion |
j |
7604375/2047032 |
j-invariant |
L |
4.3457726928846 |
L(r)(E,1)/r! |
Ω |
0.27146453390992 |
Real period |
R |
2.0010775580412 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999874 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5850k1 15600cg1 46800fn1 |
Quadratic twists by: -4 -3 5 |