Atkin-Lehner |
2+ 3+ 5- 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
43680j |
Isogeny class |
Conductor |
43680 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
1528450560000 = 212 · 38 · 54 · 7 · 13 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- 4 13- 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3185,36417] |
[a1,a2,a3,a4,a6] |
j |
872626551616/373156875 |
j-invariant |
L |
3.0601731748945 |
L(r)(E,1)/r! |
Ω |
0.76504329375534 |
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 |
43680cg3 87360cm1 |
Quadratic twists by: -4 8 |