Atkin-Lehner |
3- 5+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
37485v |
Isogeny class |
Conductor |
37485 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
189839171904653565 = 318 · 5 · 78 · 17 |
Discriminant |
Eigenvalues |
-1 3- 5+ 7- 0 -6 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-9802778,-11810847324] |
[a1,a2,a3,a4,a6] |
Generators |
[-48759:26500:27] |
Generators of the group modulo torsion |
j |
1214661886599131209/2213451765 |
j-invariant |
L |
2.4405507668823 |
L(r)(E,1)/r! |
Ω |
0.085322252794545 |
Real period |
R |
7.150979630013 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999995 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12495g4 5355m4 |
Quadratic twists by: -3 -7 |