Atkin-Lehner |
2+ 3+ 5- 7- 103- |
Signs for the Atkin-Lehner involutions |
Class |
108150w |
Isogeny class |
Conductor |
108150 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
541440 |
Modular degree for the optimal curve |
Δ |
767577726562500 = 22 · 33 · 59 · 73 · 1032 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- -2 2 4 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-32700,-1858500] |
[a1,a2,a3,a4,a6] |
j |
1979965772693/392999796 |
j-invariant |
L |
2.1597007893435 |
L(r)(E,1)/r! |
Ω |
0.35995011627764 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
108150cm1 |
Quadratic twists by: 5 |