Atkin-Lehner |
2- 3- 11+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
10824h |
Isogeny class |
Conductor |
10824 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
13824 |
Modular degree for the optimal curve |
Δ |
61859939328 = 210 · 33 · 113 · 412 |
Discriminant |
Eigenvalues |
2- 3- 0 -2 11+ 6 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-12088,507392] |
[a1,a2,a3,a4,a6] |
Generators |
[23:492:1] |
Generators of the group modulo torsion |
j |
190775691638500/60410097 |
j-invariant |
L |
5.3280250878331 |
L(r)(E,1)/r! |
Ω |
1.0844745168305 |
Real period |
R |
1.637667215825 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
21648d1 86592m1 32472i1 119064k1 |
Quadratic twists by: -4 8 -3 -11 |