Atkin-Lehner |
2- 3- 5- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
104400fq |
Isogeny class |
Conductor |
104400 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1459200 |
Modular degree for the optimal curve |
Δ |
-507384000000000 = -1 · 212 · 37 · 59 · 29 |
Discriminant |
Eigenvalues |
2- 3- 5- -2 -3 -4 8 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2514000,-1534250000] |
[a1,a2,a3,a4,a6] |
j |
-301302001664/87 |
j-invariant |
L |
2.1581455465617 |
L(r)(E,1)/r! |
Ω |
0.059948487890214 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6525m1 34800dt1 104400fl1 |
Quadratic twists by: -4 -3 5 |