Atkin-Lehner |
2+ 3- 7- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
37296bb |
Isogeny class |
Conductor |
37296 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
3045143808 = 28 · 38 · 72 · 37 |
Discriminant |
Eigenvalues |
2+ 3- 2 7- -4 -4 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1839,30238] |
[a1,a2,a3,a4,a6] |
Generators |
[29:36:1] |
Generators of the group modulo torsion |
j |
3685542352/16317 |
j-invariant |
L |
6.4741313721969 |
L(r)(E,1)/r! |
Ω |
1.4303961945464 |
Real period |
R |
1.1315276489272 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999989 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
18648g2 12432r2 |
Quadratic twists by: -4 -3 |