Atkin-Lehner |
2+ 3- 5+ 11+ 103+ |
Signs for the Atkin-Lehner involutions |
Class |
101970n |
Isogeny class |
Conductor |
101970 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
2004480 |
Modular degree for the optimal curve |
Δ |
55777312810870200 = 23 · 37 · 52 · 11 · 1035 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -5 11+ 1 -7 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-401445,-97139075] |
[a1,a2,a3,a4,a6] |
j |
9814653049160131921/76512088903800 |
j-invariant |
L |
0.75902709146109 |
L(r)(E,1)/r! |
Ω |
0.189756708432 |
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 |
33990ba1 |
Quadratic twists by: -3 |