Atkin-Lehner |
2- 3- 5- 7+ 11+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
39270cu |
Isogeny class |
Conductor |
39270 |
Conductor |
∏ cp |
2240 |
Product of Tamagawa factors cp |
deg |
1720320 |
Modular degree for the optimal curve |
Δ |
-3.3987315294536E+20 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 11+ -2 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1262505,1041464025] |
[a1,a2,a3,a4,a6] |
Generators |
[-390:-38205:1] |
Generators of the group modulo torsion |
j |
-222547671126839139797521/339873152945356800000 |
j-invariant |
L |
11.14586269177 |
L(r)(E,1)/r! |
Ω |
0.15344335386967 |
Real period |
R |
0.51884492181282 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
117810x1 |
Quadratic twists by: -3 |