Atkin-Lehner |
2- 7+ 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
89012m |
Isogeny class |
Conductor |
89012 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
Δ |
-282850110802572544 = -1 · 28 · 7 · 113 · 179 |
Discriminant |
Eigenvalues |
2- 2 3 7+ 11- -1 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-72924,-26662744] |
[a1,a2,a3,a4,a6] |
Generators |
[687537875:14502721368:1092727] |
Generators of the group modulo torsion |
j |
-6940769488/45774421 |
j-invariant |
L |
12.419071164002 |
L(r)(E,1)/r! |
Ω |
0.12930876022661 |
Real period |
R |
16.006998982601 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002955 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5236c2 |
Quadratic twists by: 17 |