Atkin-Lehner |
2+ 3- 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
23520w |
Isogeny class |
Conductor |
23520 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
Δ |
28689339248640 = 212 · 35 · 5 · 78 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 4 6 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-15558545,23615994303] |
[a1,a2,a3,a4,a6] |
j |
864335783029582144/59535 |
j-invariant |
L |
3.6665874607495 |
L(r)(E,1)/r! |
Ω |
0.36665874607495 |
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 |
23520k4 47040eq1 70560do4 117600fe4 |
Quadratic twists by: -4 8 -3 5 |