Atkin-Lehner |
2+ 3+ 5+ 17+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
20910b |
Isogeny class |
Conductor |
20910 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
70656 |
Modular degree for the optimal curve |
Δ |
3704143770000 = 24 · 312 · 54 · 17 · 41 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 4 0 -2 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-8103,-268443] |
[a1,a2,a3,a4,a6] |
Generators |
[-46:121:1] |
Generators of the group modulo torsion |
j |
58849797268457209/3704143770000 |
j-invariant |
L |
3.3435224990582 |
L(r)(E,1)/r! |
Ω |
0.50517378939584 |
Real period |
R |
3.3092794690089 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
62730bj1 104550ci1 |
Quadratic twists by: -3 5 |