Atkin-Lehner |
2+ 3- 5+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
37440bm |
Isogeny class |
Conductor |
37440 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-13645230243840 = -1 · 217 · 36 · 5 · 134 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 -4 13- 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,5652,69552] |
[a1,a2,a3,a4,a6] |
Generators |
[24:468:1] |
Generators of the group modulo torsion |
j |
208974222/142805 |
j-invariant |
L |
4.8988271548054 |
L(r)(E,1)/r! |
Ω |
0.44533493877808 |
Real period |
R |
2.750080180238 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
37440ee3 4680s4 4160d4 |
Quadratic twists by: -4 8 -3 |