Atkin-Lehner |
2+ 3- 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
37440bd |
Isogeny class |
Conductor |
37440 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
49152 |
Modular degree for the optimal curve |
Δ |
-2620200960000 = -1 · 214 · 39 · 54 · 13 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 4 13+ 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,3012,-44912] |
[a1,a2,a3,a4,a6] |
j |
253012016/219375 |
j-invariant |
L |
1.785504925307 |
L(r)(E,1)/r! |
Ω |
0.44637623132834 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
37440dt1 4680t1 12480bg1 |
Quadratic twists by: -4 8 -3 |