Atkin-Lehner |
2+ 7- 11- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
89936h |
Isogeny class |
Conductor |
89936 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
26496 |
Modular degree for the optimal curve |
Δ |
10882256 = 24 · 7 · 113 · 73 |
Discriminant |
Eigenvalues |
2+ -2 3 7- 11- 0 -6 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-239,-1496] |
[a1,a2,a3,a4,a6] |
Generators |
[-70:11:8] |
Generators of the group modulo torsion |
j |
94757435392/680141 |
j-invariant |
L |
5.4355904160298 |
L(r)(E,1)/r! |
Ω |
1.2143297842349 |
Real period |
R |
1.4920687058431 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000013135 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
44968f1 |
Quadratic twists by: -4 |