Atkin-Lehner |
2+ 3+ 11+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
89298b |
Isogeny class |
Conductor |
89298 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
312070821118731972 = 22 · 39 · 119 · 412 |
Discriminant |
Eigenvalues |
2+ 3+ 0 -4 11+ 2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-797352,272924108] |
[a1,a2,a3,a4,a6] |
Generators |
[212:10542:1] |
Generators of the group modulo torsion |
j |
1207949625/6724 |
j-invariant |
L |
3.0390646216482 |
L(r)(E,1)/r! |
Ω |
0.30764088433453 |
Real period |
R |
2.4696527493437 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999947978 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
89298bm2 89298bl2 |
Quadratic twists by: -3 -11 |