Atkin-Lehner |
2+ 3+ 5- 7- 43- |
Signs for the Atkin-Lehner involutions |
Class |
72240m |
Isogeny class |
Conductor |
72240 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
4911721136179200 = 211 · 32 · 52 · 78 · 432 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- -4 6 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-17751200,28792472352] |
[a1,a2,a3,a4,a6] |
j |
302048675556489109281602/2398301336025 |
j-invariant |
L |
2.3935813007428 |
L(r)(E,1)/r! |
Ω |
0.29919766408781 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
36120bc6 |
Quadratic twists by: -4 |