Atkin-Lehner |
2+ 3+ 5+ 11- 89- |
Signs for the Atkin-Lehner involutions |
Class |
88110a |
Isogeny class |
Conductor |
88110 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
-301088390625000 = -1 · 23 · 39 · 59 · 11 · 89 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -1 11- -1 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-130020,-18032104] |
[a1,a2,a3,a4,a6] |
Generators |
[95914468:1991286211:140608] |
Generators of the group modulo torsion |
j |
-12349938179213523/15296875000 |
j-invariant |
L |
3.2797404352926 |
L(r)(E,1)/r! |
Ω |
0.12569980725596 |
Real period |
R |
13.045924669896 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000007101 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
88110bw1 |
Quadratic twists by: -3 |