Atkin-Lehner |
2+ 3- 7- 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
37128j |
Isogeny class |
Conductor |
37128 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
15360 |
Modular degree for the optimal curve |
Δ |
-5628827568 = -1 · 24 · 3 · 74 · 132 · 172 |
Discriminant |
Eigenvalues |
2+ 3- 0 7- 2 13+ 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,77,3626] |
[a1,a2,a3,a4,a6] |
Generators |
[49:357:1] |
Generators of the group modulo torsion |
j |
3114752000/351801723 |
j-invariant |
L |
7.3081866434801 |
L(r)(E,1)/r! |
Ω |
1.038190110128 |
Real period |
R |
0.8799191222524 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
74256a1 111384cf1 |
Quadratic twists by: -4 -3 |