Atkin-Lehner |
2+ 3+ 7+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
55104a |
Isogeny class |
Conductor |
55104 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
245952516096 = 212 · 36 · 72 · 412 |
Discriminant |
Eigenvalues |
2+ 3+ 2 7+ 0 -6 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1737,14985] |
[a1,a2,a3,a4,a6] |
Generators |
[5:80:1] |
Generators of the group modulo torsion |
j |
141583688128/60047001 |
j-invariant |
L |
4.7786720487931 |
L(r)(E,1)/r! |
Ω |
0.8915793985751 |
Real period |
R |
2.6798914691793 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000247 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
55104bi2 27552u1 |
Quadratic twists by: -4 8 |