Atkin-Lehner |
2- 3+ 7+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
74592v |
Isogeny class |
Conductor |
74592 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
12985029142622208 = 212 · 39 · 76 · 372 |
Discriminant |
Eigenvalues |
2- 3+ 2 7+ 0 2 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-16940124,26836321248] |
[a1,a2,a3,a4,a6] |
j |
6668408964664760256/161061481 |
j-invariant |
L |
2.3163238521415 |
L(r)(E,1)/r! |
Ω |
0.28954048372721 |
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 |
74592c2 74592b2 |
Quadratic twists by: -4 -3 |