Atkin-Lehner |
2+ 3- 5+ 83+ |
Signs for the Atkin-Lehner involutions |
Class |
37350n |
Isogeny class |
Conductor |
37350 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-1412460281250 = -1 · 2 · 38 · 56 · 832 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -4 0 0 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,1233,54391] |
[a1,a2,a3,a4,a6] |
Generators |
[29:-352:1] [-21:148:1] |
Generators of the group modulo torsion |
j |
18191447/124002 |
j-invariant |
L |
6.1498215245605 |
L(r)(E,1)/r! |
Ω |
0.61997560330017 |
Real period |
R |
2.4798643252352 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999993 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12450r2 1494e2 |
Quadratic twists by: -3 5 |