Atkin-Lehner |
2+ 3+ 5- 7- 43- |
Signs for the Atkin-Lehner involutions |
Class |
72240m |
Isogeny class |
Conductor |
72240 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-3809531250000000000 = -1 · 210 · 34 · 516 · 7 · 43 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- -4 6 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,389920,5852400] |
[a1,a2,a3,a4,a6] |
j |
6402493956601249916/3720245361328125 |
j-invariant |
L |
2.3935813007428 |
L(r)(E,1)/r! |
Ω |
0.1495988320439 |
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 |
36120bc3 |
Quadratic twists by: -4 |