Atkin-Lehner |
2- 3- 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
37440dt |
Isogeny class |
Conductor |
37440 |
Conductor |
∏ cp |
32 |
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] |
Generators |
[34:432:1] |
Generators of the group modulo torsion |
j |
253012016/219375 |
j-invariant |
L |
4.6259056061454 |
L(r)(E,1)/r! |
Ω |
0.52674528216141 |
Real period |
R |
1.0977567722971 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999987 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
37440bd1 9360t1 12480ca1 |
Quadratic twists by: -4 8 -3 |