Atkin-Lehner |
2+ 3+ 5- 7+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
37170f |
Isogeny class |
Conductor |
37170 |
Conductor |
∏ cp |
160 |
Product of Tamagawa factors cp |
Δ |
-5.8433974057935E+22 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7+ 4 -6 -4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-42758889,108256004045] |
[a1,a2,a3,a4,a6] |
Generators |
[2401:138187:1] |
Generators of the group modulo torsion |
j |
-439249891327483011186627/2968753445000000000 |
j-invariant |
L |
4.1973796972832 |
L(r)(E,1)/r! |
Ω |
0.11186342726019 |
Real period |
R |
0.93805897961665 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999969 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
37170r2 |
Quadratic twists by: -3 |