Atkin-Lehner |
2+ 3+ 7- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
37296b |
Isogeny class |
Conductor |
37296 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-1854655488 = -1 · 210 · 33 · 72 · 372 |
Discriminant |
Eigenvalues |
2+ 3+ 0 7- -6 -2 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-195,2322] |
[a1,a2,a3,a4,a6] |
Generators |
[-11:56:1] [3:-42:1] |
Generators of the group modulo torsion |
j |
-29659500/67081 |
j-invariant |
L |
8.7899537296828 |
L(r)(E,1)/r! |
Ω |
1.3157679463903 |
Real period |
R |
0.8350592665102 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
18648q2 37296a2 |
Quadratic twists by: -4 -3 |