Atkin-Lehner |
2- 3- 5+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
4560w |
Isogeny class |
Conductor |
4560 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
8064 |
Modular degree for the optimal curve |
Δ |
-1434451968000 = -1 · 226 · 32 · 53 · 19 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 -4 -6 4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1256,59700] |
[a1,a2,a3,a4,a6] |
Generators |
[4:234:1] |
Generators of the group modulo torsion |
j |
-53540005609/350208000 |
j-invariant |
L |
4.2053285253804 |
L(r)(E,1)/r! |
Ω |
0.73402092773756 |
Real period |
R |
2.864583533294 |
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 |
570b1 18240cg1 13680bj1 22800bu1 |
Quadratic twists by: -4 8 -3 5 |