Atkin-Lehner |
2- 13+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
11024h |
Isogeny class |
Conductor |
11024 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
91200 |
Modular degree for the optimal curve |
Δ |
-5018858263937024 = -1 · 237 · 13 · 532 |
Discriminant |
Eigenvalues |
2- -1 -1 -5 -4 13+ 5 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-220936,-40042768] |
[a1,a2,a3,a4,a6] |
Generators |
[91780:1736704:125] |
Generators of the group modulo torsion |
j |
-291182446516741129/1225307193344 |
j-invariant |
L |
2.1385584167565 |
L(r)(E,1)/r! |
Ω |
0.11007619595851 |
Real period |
R |
2.4284978215937 |
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 |
1378a1 44096q1 99216bc1 |
Quadratic twists by: -4 8 -3 |