Atkin-Lehner |
2- 3- 5- 7+ 83+ |
Signs for the Atkin-Lehner involutions |
Class |
122010dj |
Isogeny class |
Conductor |
122010 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
685440 |
Modular degree for the optimal curve |
Δ |
695010672168750 = 2 · 34 · 55 · 74 · 833 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 5 4 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-57135,5096475] |
[a1,a2,a3,a4,a6] |
j |
8590901157492241/289467168750 |
j-invariant |
L |
10.1181153174 |
L(r)(E,1)/r! |
Ω |
0.50590574778255 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
122010ca1 |
Quadratic twists by: -7 |