Atkin-Lehner |
2+ 5+ 7- 13+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
104650j |
Isogeny class |
Conductor |
104650 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
17280 |
Modular degree for the optimal curve |
Δ |
732550 = 2 · 52 · 72 · 13 · 23 |
Discriminant |
Eigenvalues |
2+ 1 5+ 7- 3 13+ -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-81,-282] |
[a1,a2,a3,a4,a6] |
Generators |
[-42:31:8] |
Generators of the group modulo torsion |
j |
2309449585/29302 |
j-invariant |
L |
5.5033415032276 |
L(r)(E,1)/r! |
Ω |
1.5949820272698 |
Real period |
R |
1.7252048535295 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000061329 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
104650bd1 |
Quadratic twists by: 5 |