Atkin-Lehner |
2- 19+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
11248k |
Isogeny class |
Conductor |
11248 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
13824 |
Modular degree for the optimal curve |
Δ |
-307690569728 = -1 · 215 · 193 · 372 |
Discriminant |
Eigenvalues |
2- -1 0 -5 0 5 -3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2928,-65600] |
[a1,a2,a3,a4,a6] |
Generators |
[88:592:1] |
Generators of the group modulo torsion |
j |
-677993136625/75119768 |
j-invariant |
L |
2.7649261498801 |
L(r)(E,1)/r! |
Ω |
0.32248595299674 |
Real period |
R |
1.0717234829094 |
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 |
1406h1 44992bd1 101232y1 |
Quadratic twists by: -4 8 -3 |