Atkin-Lehner |
3+ 11- 13- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
91377b |
Isogeny class |
Conductor |
91377 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
336773497203 = 33 · 114 · 132 · 712 |
Discriminant |
Eigenvalues |
1 3+ 2 -4 11- 13- -6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-6996,-221751] |
[a1,a2,a3,a4,a6] |
Generators |
[-370:471:8] |
Generators of the group modulo torsion |
j |
1402633698029019/12473092489 |
j-invariant |
L |
7.3313475788431 |
L(r)(E,1)/r! |
Ω |
0.52229663902807 |
Real period |
R |
1.7545938040232 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000007143 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
91377a2 |
Quadratic twists by: -3 |