Atkin-Lehner |
2+ 11- 31- |
Signs for the Atkin-Lehner involutions |
Class |
5456c |
Isogeny class |
Conductor |
5456 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
704 |
Modular degree for the optimal curve |
Δ |
-60016 = -1 · 24 · 112 · 31 |
Discriminant |
Eigenvalues |
2+ 2 -3 1 11- -4 -2 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-32,-61] |
[a1,a2,a3,a4,a6] |
Generators |
[7:3:1] |
Generators of the group modulo torsion |
j |
-233644288/3751 |
j-invariant |
L |
4.5975310141362 |
L(r)(E,1)/r! |
Ω |
1.0000985290474 |
Real period |
R |
2.2985390342066 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2728d1 21824u1 49104r1 60016e1 |
Quadratic twists by: -4 8 -3 -11 |