Atkin-Lehner |
2+ 3- 5+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
37440bt |
Isogeny class |
Conductor |
37440 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
970444800 = 212 · 36 · 52 · 13 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -2 -2 13- 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-15588,749088] |
[a1,a2,a3,a4,a6] |
Generators |
[69:45:1] |
Generators of the group modulo torsion |
j |
140283769536/325 |
j-invariant |
L |
4.4159245356124 |
L(r)(E,1)/r! |
Ω |
1.3520924265379 |
Real period |
R |
0.81649827499575 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
37440bq2 18720t1 4160f2 |
Quadratic twists by: -4 8 -3 |