Atkin-Lehner |
2+ 5- 17- 31- |
Signs for the Atkin-Lehner involutions |
Class |
26350j |
Isogeny class |
Conductor |
26350 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
97280 |
Modular degree for the optimal curve |
Δ |
67456000000000 = 216 · 59 · 17 · 31 |
Discriminant |
Eigenvalues |
2+ 1 5- 4 0 3 17- -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-18076,846298] |
[a1,a2,a3,a4,a6] |
j |
334399895621/34537472 |
j-invariant |
L |
2.4000741326476 |
L(r)(E,1)/r! |
Ω |
0.60001853316192 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
26350s1 |
Quadratic twists by: 5 |