Atkin-Lehner |
3+ 5+ 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
37485f |
Isogeny class |
Conductor |
37485 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
18432 |
Modular degree for the optimal curve |
Δ |
-4590075735 = -1 · 33 · 5 · 76 · 172 |
Discriminant |
Eigenvalues |
-1 3+ 5+ 7- -2 -2 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-818,9776] |
[a1,a2,a3,a4,a6] |
Generators |
[16:-33:1] |
Generators of the group modulo torsion |
j |
-19034163/1445 |
j-invariant |
L |
2.607513309136 |
L(r)(E,1)/r! |
Ω |
1.3496568105321 |
Real period |
R |
0.96599123895316 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000004 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
37485j1 765b1 |
Quadratic twists by: -3 -7 |