Atkin-Lehner |
2- 7+ 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
89012l |
Isogeny class |
Conductor |
89012 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
Δ |
-57341886448 = -1 · 24 · 7 · 116 · 172 |
Discriminant |
Eigenvalues |
2- 2 0 7+ 11- 2 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2238,-41611] |
[a1,a2,a3,a4,a6] |
Generators |
[3815:235587:1] |
Generators of the group modulo torsion |
j |
-268213216000/12400927 |
j-invariant |
L |
9.6709675401475 |
L(r)(E,1)/r! |
Ω |
0.34611256765349 |
Real period |
R |
4.656947112411 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000005304 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
89012t2 |
Quadratic twists by: 17 |