Atkin-Lehner |
2- 3+ 17- 103+ |
Signs for the Atkin-Lehner involutions |
Class |
21012d |
Isogeny class |
Conductor |
21012 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
19200 |
Modular degree for the optimal curve |
Δ |
-189533871216 = -1 · 24 · 34 · 175 · 103 |
Discriminant |
Eigenvalues |
2- 3+ -3 2 1 -3 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,118,20901] |
[a1,a2,a3,a4,a6] |
Generators |
[11:153:1] |
Generators of the group modulo torsion |
j |
11260666112/11845866951 |
j-invariant |
L |
3.5478059319107 |
L(r)(E,1)/r! |
Ω |
0.78848836965162 |
Real period |
R |
0.44995031866839 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
84048bb1 63036d1 |
Quadratic twists by: -4 -3 |