Atkin-Lehner |
2+ 3+ 7- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
37296a |
Isogeny class |
Conductor |
37296 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-1352043850752 = -1 · 210 · 39 · 72 · 372 |
Discriminant |
Eigenvalues |
2+ 3+ 0 7- 6 -2 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1755,-62694] |
[a1,a2,a3,a4,a6] |
j |
-29659500/67081 |
j-invariant |
L |
2.7592390514726 |
L(r)(E,1)/r! |
Ω |
0.3449048814336 |
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 |
18648a2 37296b2 |
Quadratic twists by: -4 -3 |