Atkin-Lehner |
2+ 5+ 23- 101- |
Signs for the Atkin-Lehner involutions |
Class |
116150g |
Isogeny class |
Conductor |
116150 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
220416 |
Modular degree for the optimal curve |
Δ |
-5671386718750 = -1 · 2 · 513 · 23 · 101 |
Discriminant |
Eigenvalues |
2+ -2 5+ 2 0 3 1 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-3776,144948] |
[a1,a2,a3,a4,a6] |
Generators |
[62:356:1] |
Generators of the group modulo torsion |
j |
-380920459249/362968750 |
j-invariant |
L |
3.9435926809291 |
L(r)(E,1)/r! |
Ω |
0.69310875196239 |
Real period |
R |
2.8448585009364 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000077954 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
23230j1 |
Quadratic twists by: 5 |