Atkin-Lehner |
2- 3+ 7+ 11- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
38346k |
Isogeny class |
Conductor |
38346 |
Conductor |
∏ cp |
320 |
Product of Tamagawa factors cp |
Δ |
1.3837583218303E+20 |
Discriminant |
Eigenvalues |
2- 3+ -2 7+ 11- -2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-80022674,-275562007009] |
[a1,a2,a3,a4,a6] |
Generators |
[24585:3539827:1] |
Generators of the group modulo torsion |
j |
56671262900860717519343762977/138375832183026729984 |
j-invariant |
L |
5.7947988186942 |
L(r)(E,1)/r! |
Ω |
0.05047732751114 |
Real period |
R |
5.7400016050913 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
115038i4 |
Quadratic twists by: -3 |