Atkin-Lehner |
2+ 3- 5+ 11- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
67650bi |
Isogeny class |
Conductor |
67650 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
1075200 |
Modular degree for the optimal curve |
Δ |
207918129408000000 = 214 · 3 · 56 · 115 · 412 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -2 11- 2 -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-295376,57738398] |
[a1,a2,a3,a4,a6] |
Generators |
[8:7437:1] |
Generators of the group modulo torsion |
j |
182400988413112561/13306760282112 |
j-invariant |
L |
4.7834945234194 |
L(r)(E,1)/r! |
Ω |
0.31003583674015 |
Real period |
R |
1.5428843880011 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002398 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2706n1 |
Quadratic twists by: 5 |