Atkin-Lehner |
3- 5- 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
37485bv |
Isogeny class |
Conductor |
37485 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
49152 |
Modular degree for the optimal curve |
Δ |
153092525985 = 37 · 5 · 77 · 17 |
Discriminant |
Eigenvalues |
-1 3- 5- 7- -4 2 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-16547,-814894] |
[a1,a2,a3,a4,a6] |
Generators |
[150:172:1] |
Generators of the group modulo torsion |
j |
5841725401/1785 |
j-invariant |
L |
3.6311836658536 |
L(r)(E,1)/r! |
Ω |
0.42094926173167 |
Real period |
R |
4.3130894812791 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999984 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12495j1 5355h1 |
Quadratic twists by: -3 -7 |