Atkin-Lehner |
2+ 5+ 7- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
21070d |
Isogeny class |
Conductor |
21070 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
580608 |
Modular degree for the optimal curve |
Δ |
-1.2224728161157E+19 |
Discriminant |
Eigenvalues |
2+ 2 5+ 7- 4 -4 -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-140753,169384853] |
[a1,a2,a3,a4,a6] |
j |
-2621279152968841/103908474880000 |
j-invariant |
L |
1.4997752238974 |
L(r)(E,1)/r! |
Ω |
0.18747190298718 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
105350cv1 3010b1 |
Quadratic twists by: 5 -7 |