Atkin-Lehner |
2+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
26912a |
Isogeny class |
Conductor |
26912 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
11200 |
Modular degree for the optimal curve |
Δ |
38068692544 = 26 · 296 |
Discriminant |
Eigenvalues |
2+ 0 -2 0 0 6 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-841,0] |
[a1,a2,a3,a4,a6] |
Generators |
[-63700:6930:2197] |
Generators of the group modulo torsion |
j |
1728 |
j-invariant |
L |
4.3060379030178 |
L(r)(E,1)/r! |
Ω |
0.97380772852794 |
Real period |
R |
8.843712730699 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
26912a1 53824r2 32a2 |
Quadratic twists by: -4 8 29 |