Atkin-Lehner |
2- 5- 29+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
21170f |
Isogeny class |
Conductor |
21170 |
Conductor |
∏ cp |
90 |
Product of Tamagawa factors cp |
deg |
970560 |
Modular degree for the optimal curve |
Δ |
-3477337890625000000 = -1 · 26 · 515 · 293 · 73 |
Discriminant |
Eigenvalues |
2- -2 5- 2 -6 5 6 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-4103070,3199895812] |
[a1,a2,a3,a4,a6] |
j |
-7639246036581958184006881/3477337890625000000 |
j-invariant |
L |
2.4652964068005 |
L(r)(E,1)/r! |
Ω |
0.24652964068005 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
105850a1 |
Quadratic twists by: 5 |