Atkin-Lehner |
2+ 3- 7+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
36414ba |
Isogeny class |
Conductor |
36414 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
587520 |
Modular degree for the optimal curve |
Δ |
2332904011951177728 = 216 · 36 · 7 · 178 |
Discriminant |
Eigenvalues |
2+ 3- 0 7+ -4 -2 17- -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-502047,115653325] |
[a1,a2,a3,a4,a6] |
Generators |
[8862:827185:1] |
Generators of the group modulo torsion |
j |
2751936625/458752 |
j-invariant |
L |
3.1304000128342 |
L(r)(E,1)/r! |
Ω |
0.2471015609968 |
Real period |
R |
6.3342376312917 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4046n1 36414bf1 |
Quadratic twists by: -3 17 |