Atkin-Lehner |
2- 3+ 5+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
4560q |
Isogeny class |
Conductor |
4560 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
53760 |
Modular degree for the optimal curve |
Δ |
-482262292616970240 = -1 · 240 · 35 · 5 · 192 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -4 0 2 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,58824,32937840] |
[a1,a2,a3,a4,a6] |
Generators |
[1261:45942:1] |
Generators of the group modulo torsion |
j |
5495662324535111/117739817533440 |
j-invariant |
L |
2.5780248806373 |
L(r)(E,1)/r! |
Ω |
0.22078605711871 |
Real period |
R |
5.8382873318201 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
570d1 18240cq1 13680bx1 22800dj1 |
Quadratic twists by: -4 8 -3 5 |