Atkin-Lehner |
2- 3+ 11- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
110946ba |
Isogeny class |
Conductor |
110946 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
1935360 |
Modular degree for the optimal curve |
Δ |
16864162083903552 = 26 · 3 · 11 · 418 |
Discriminant |
Eigenvalues |
2- 3+ -4 -2 11- 2 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-184945,-30046129] |
[a1,a2,a3,a4,a6] |
Generators |
[-227:664:1] |
Generators of the group modulo torsion |
j |
147281603041/3550272 |
j-invariant |
L |
6.5723829756731 |
L(r)(E,1)/r! |
Ω |
0.23055621456707 |
Real period |
R |
4.7511066537178 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999774197 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2706q1 |
Quadratic twists by: 41 |