Atkin-Lehner |
2- 3- 7- 59- |
Signs for the Atkin-Lehner involutions |
Class |
4956d |
Isogeny class |
Conductor |
4956 |
Conductor |
∏ cp |
112 |
Product of Tamagawa factors cp |
deg |
86016 |
Modular degree for the optimal curve |
Δ |
-26028784063615536 = -1 · 24 · 314 · 78 · 59 |
Discriminant |
Eigenvalues |
2- 3- -2 7- -4 6 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1750309,890743016] |
[a1,a2,a3,a4,a6] |
Generators |
[740:1134:1] |
Generators of the group modulo torsion |
j |
-37063647376498477760512/1626799003975971 |
j-invariant |
L |
4.1115637929468 |
L(r)(E,1)/r! |
Ω |
0.35391044590542 |
Real period |
R |
0.41491164144122 |
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 |
19824n1 79296g1 14868c1 123900e1 |
Quadratic twists by: -4 8 -3 5 |