Atkin-Lehner |
2+ 11+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
81862a |
Isogeny class |
Conductor |
81862 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
654720 |
Modular degree for the optimal curve |
Δ |
70799710609881088 = 211 · 11 · 617 |
Discriminant |
Eigenvalues |
2+ -1 0 2 11+ 1 5 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-104265,1966021] |
[a1,a2,a3,a4,a6] |
Generators |
[-2338:23199:8] |
Generators of the group modulo torsion |
j |
2433138625/1374208 |
j-invariant |
L |
4.4852586462045 |
L(r)(E,1)/r! |
Ω |
0.29834955094353 |
Real period |
R |
7.5167846429864 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001463 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1342b1 |
Quadratic twists by: 61 |