Atkin-Lehner |
3+ 5+ 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
37485d |
Isogeny class |
Conductor |
37485 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
3870720 |
Modular degree for the optimal curve |
Δ |
487787233606556625 = 39 · 53 · 79 · 173 |
Discriminant |
Eigenvalues |
1 3+ 5+ 7- 4 -6 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-118484655,-496381241224] |
[a1,a2,a3,a4,a6] |
Generators |
[1115442066519233334292351688:-96765302565189978065545469468:67741074410554691018839] |
Generators of the group modulo torsion |
j |
231598843578097029/614125 |
j-invariant |
L |
5.92912170043 |
L(r)(E,1)/r! |
Ω |
0.045759790501842 |
Real period |
R |
43.190186809609 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
37485n1 37485k1 |
Quadratic twists by: -3 -7 |