Atkin-Lehner |
3+ 5- 7+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
37485i |
Isogeny class |
Conductor |
37485 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
134400 |
Modular degree for the optimal curve |
Δ |
-28114213876875 = -1 · 33 · 54 · 78 · 172 |
Discriminant |
Eigenvalues |
-2 3+ 5- 7+ -6 1 17- -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-3087,-263510] |
[a1,a2,a3,a4,a6] |
Generators |
[343:-6248:1] |
Generators of the group modulo torsion |
j |
-20901888/180625 |
j-invariant |
L |
2.5918500880001 |
L(r)(E,1)/r! |
Ω |
0.28096642769762 |
Real period |
R |
0.19218266493902 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
37485a1 37485c1 |
Quadratic twists by: -3 -7 |