Atkin-Lehner |
2+ 5+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
101920b |
Isogeny class |
Conductor |
101920 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
967680 |
Modular degree for the optimal curve |
Δ |
-611050458636800000 = -1 · 212 · 55 · 710 · 132 |
Discriminant |
Eigenvalues |
2+ -1 5+ 7- 0 13+ 0 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-195281,50242081] |
[a1,a2,a3,a4,a6] |
j |
-711812416/528125 |
j-invariant |
L |
1.0644260828148 |
L(r)(E,1)/r! |
Ω |
0.26610654198347 |
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 |
101920x1 101920k1 |
Quadratic twists by: -4 -7 |