Atkin-Lehner |
2- 19+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
106742h |
Isogeny class |
Conductor |
106742 |
Conductor |
∏ cp |
22 |
Product of Tamagawa factors cp |
deg |
47520 |
Modular degree for the optimal curve |
Δ |
-2076772352 = -1 · 211 · 192 · 532 |
Discriminant |
Eigenvalues |
2- -1 0 -2 4 -6 -3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,127,2175] |
[a1,a2,a3,a4,a6] |
Generators |
[-9:24:1] [-5:40:1] |
Generators of the group modulo torsion |
j |
80606375/739328 |
j-invariant |
L |
13.60248288432 |
L(r)(E,1)/r! |
Ω |
1.0770979306539 |
Real period |
R |
0.57403756792033 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000573 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
106742e1 |
Quadratic twists by: 53 |