Atkin-Lehner |
2+ 3- 7- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
110544bk |
Isogeny class |
Conductor |
110544 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
deg |
1474560 |
Modular degree for the optimal curve |
Δ |
-147447424601422848 = -1 · 210 · 312 · 78 · 47 |
Discriminant |
Eigenvalues |
2+ 3- -4 7- 2 -4 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-57640,-19246396] |
[a1,a2,a3,a4,a6] |
Generators |
[590:-12348:1] |
Generators of the group modulo torsion |
j |
-175798419556/1223908623 |
j-invariant |
L |
5.7270895199596 |
L(r)(E,1)/r! |
Ω |
0.1367498003557 |
Real period |
R |
0.87250120614634 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999370182 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
55272x1 15792c1 |
Quadratic twists by: -4 -7 |