Atkin-Lehner |
2+ 3+ 5+ 11+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
67650d |
Isogeny class |
Conductor |
67650 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
92160 |
Modular degree for the optimal curve |
Δ |
55473000000 = 26 · 3 · 56 · 11 · 412 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -2 11+ 2 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-2750,-55500] |
[a1,a2,a3,a4,a6] |
Generators |
[-258:375:8] |
Generators of the group modulo torsion |
j |
147281603041/3550272 |
j-invariant |
L |
3.6673240583109 |
L(r)(E,1)/r! |
Ω |
0.66021252503955 |
Real period |
R |
2.7773814642269 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999981467 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2706q1 |
Quadratic twists by: 5 |