Atkin-Lehner |
2+ 3+ 5- 11+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
120450m |
Isogeny class |
Conductor |
120450 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1010240 |
Modular degree for the optimal curve |
Δ |
-35562260250000000 = -1 · 27 · 311 · 59 · 11 · 73 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -3 11+ -1 -3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,54425,7667125] |
[a1,a2,a3,a4,a6] |
j |
9128018632699/18207877248 |
j-invariant |
L |
0.50656721409315 |
L(r)(E,1)/r! |
Ω |
0.25328287061832 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
120450cl1 |
Quadratic twists by: 5 |