Atkin-Lehner |
2- 17+ 79- |
Signs for the Atkin-Lehner involutions |
Class |
85952r |
Isogeny class |
Conductor |
85952 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
279846411548229632 = 229 · 174 · 792 |
Discriminant |
Eigenvalues |
2- 2 -2 0 0 -2 17+ 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-668609,209107553] |
[a1,a2,a3,a4,a6] |
Generators |
[8890629:-275516416:35937] |
Generators of the group modulo torsion |
j |
126095937366490993/1067529340928 |
j-invariant |
L |
7.9838323651632 |
L(r)(E,1)/r! |
Ω |
0.31033822021196 |
Real period |
R |
6.4315574468011 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000298 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
85952b2 21488g2 |
Quadratic twists by: -4 8 |