Atkin-Lehner |
2- 19+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
11248i |
Isogeny class |
Conductor |
11248 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
6912 |
Modular degree for the optimal curve |
Δ |
-76922642432 = -1 · 213 · 193 · 372 |
Discriminant |
Eigenvalues |
2- 1 2 3 -2 3 -3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,888,-8332] |
[a1,a2,a3,a4,a6] |
Generators |
[172:2294:1] |
Generators of the group modulo torsion |
j |
18884848247/18779942 |
j-invariant |
L |
6.4789915870758 |
L(r)(E,1)/r! |
Ω |
0.59182036471284 |
Real period |
R |
2.7368911131587 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1406a1 44992bi1 101232bd1 |
Quadratic twists by: -4 8 -3 |