Atkin-Lehner |
2+ 3+ 5- 7- 43- |
Signs for the Atkin-Lehner involutions |
Class |
72240l |
Isogeny class |
Conductor |
72240 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
23116800 = 210 · 3 · 52 · 7 · 43 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- 4 6 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-481600,128801200] |
[a1,a2,a3,a4,a6] |
j |
12063798982949817604/22575 |
j-invariant |
L |
3.9125798205999 |
L(r)(E,1)/r! |
Ω |
0.97814495518216 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
36120bd4 |
Quadratic twists by: -4 |