Atkin-Lehner |
3- 5+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
37485w |
Isogeny class |
Conductor |
37485 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
8.8759210322556E+19 |
Discriminant |
Eigenvalues |
-1 3- 5+ 7- 2 6 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1742033,760517902] |
[a1,a2,a3,a4,a6] |
Generators |
[371668:27450695:64] |
Generators of the group modulo torsion |
j |
19873882747503/3017196125 |
j-invariant |
L |
3.8026353170224 |
L(r)(E,1)/r! |
Ω |
0.18311738740734 |
Real period |
R |
10.383053654441 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999981 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4165m2 37485bu2 |
Quadratic twists by: -3 -7 |