Atkin-Lehner |
2+ 3+ 5- |
Signs for the Atkin-Lehner involutions |
Class |
240a |
Isogeny class |
Conductor |
240 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
16 |
Modular degree for the optimal curve |
Δ |
720 = 24 · 32 · 5 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 0 4 6 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-15,-18] |
[a1,a2,a3,a4,a6] |
j |
24918016/45 |
j-invariant |
L |
1.2064449969911 |
L(r)(E,1)/r! |
Ω |
2.4128899939821 |
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 |
120a1 960l1 720c1 1200e1 |
Quadratic twists by: -4 8 -3 5 |