Atkin-Lehner |
2+ 3- 5- 11+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
120450bd |
Isogeny class |
Conductor |
120450 |
Conductor |
∏ cp |
432 |
Product of Tamagawa factors cp |
deg |
36080640 |
Modular degree for the optimal curve |
Δ |
9.3591567943672E+25 |
Discriminant |
Eigenvalues |
2+ 3- 5- 2 11+ -1 6 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-121033151,214517550098] |
[a1,a2,a3,a4,a6] |
j |
313730476740959865307711225/149746508709875747417088 |
j-invariant |
L |
2.5738330714163 |
L(r)(E,1)/r! |
Ω |
0.05362151503608 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
120450bj1 |
Quadratic twists by: 5 |