Atkin-Lehner |
3+ 5+ 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
37485d |
Isogeny class |
Conductor |
37485 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
-2.9956233483863E+23 |
Discriminant |
Eigenvalues |
1 3+ 5+ 7- 4 -6 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-118438350,-496788641875] |
[a1,a2,a3,a4,a6] |
Generators |
[149319809277365396:17196255938553057269:7325120355461] |
Generators of the group modulo torsion |
j |
-231327416180313909/377149515625 |
j-invariant |
L |
5.92912170043 |
L(r)(E,1)/r! |
Ω |
0.022879895250921 |
Real period |
R |
21.595093404804 |
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 |
37485n2 37485k2 |
Quadratic twists by: -3 -7 |