Atkin-Lehner |
2+ 3- 5+ 23+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
84870c |
Isogeny class |
Conductor |
84870 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
12533760 |
Modular degree for the optimal curve |
Δ |
3.4378898243951E+23 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -4 2 4 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-18773460,13585006800] |
[a1,a2,a3,a4,a6] |
Generators |
[31371015:-3674429195:59319] |
Generators of the group modulo torsion |
j |
1003758328538194667146561/471589825019904000000 |
j-invariant |
L |
4.0127994783034 |
L(r)(E,1)/r! |
Ω |
0.085728776870108 |
Real period |
R |
11.702020082019 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000010317 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
28290ba1 |
Quadratic twists by: -3 |