Atkin-Lehner |
2- 3- 5- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
22560u |
Isogeny class |
Conductor |
22560 |
Conductor |
∏ cp |
308 |
Product of Tamagawa factors cp |
deg |
315392 |
Modular degree for the optimal curve |
Δ |
-2664290880000000 = -1 · 212 · 311 · 57 · 47 |
Discriminant |
Eigenvalues |
2- 3- 5- -3 -6 -5 -7 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-217105,38942975] |
[a1,a2,a3,a4,a6] |
Generators |
[2090:-93375:1] [-385:8100:1] |
Generators of the group modulo torsion |
j |
-276296409398322496/650461640625 |
j-invariant |
L |
8.3851784113642 |
L(r)(E,1)/r! |
Ω |
0.45617453862849 |
Real period |
R |
0.05968023843144 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
22560r1 45120bs1 67680f1 112800m1 |
Quadratic twists by: -4 8 -3 5 |