Atkin-Lehner |
2+ 3- 5- 17+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
20910j |
Isogeny class |
Conductor |
20910 |
Conductor |
∏ cp |
70 |
Product of Tamagawa factors cp |
deg |
29120 |
Modular degree for the optimal curve |
Δ |
19054237500 = 22 · 37 · 55 · 17 · 41 |
Discriminant |
Eigenvalues |
2+ 3- 5- -5 -5 -3 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1013,10388] |
[a1,a2,a3,a4,a6] |
Generators |
[-36:40:1] [9:40:1] |
Generators of the group modulo torsion |
j |
114798342025801/19054237500 |
j-invariant |
L |
6.0999718348663 |
L(r)(E,1)/r! |
Ω |
1.1666522887042 |
Real period |
R |
0.074694453203874 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999994 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
62730y1 104550bk1 |
Quadratic twists by: -3 5 |