Atkin-Lehner |
2+ 3+ 5+ 13- 83- |
Signs for the Atkin-Lehner involutions |
Class |
97110d |
Isogeny class |
Conductor |
97110 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
6196420315051200 = 26 · 39 · 52 · 134 · 832 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -4 4 13- 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-238290,-44552044] |
[a1,a2,a3,a4,a6] |
Generators |
[-292:406:1] |
Generators of the group modulo torsion |
j |
76024031576192883/314810766400 |
j-invariant |
L |
4.3778835701791 |
L(r)(E,1)/r! |
Ω |
0.21613803662539 |
Real period |
R |
1.2659397100949 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999894072 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
97110bq2 |
Quadratic twists by: -3 |