Atkin-Lehner |
2+ 3+ 5+ 11- 103+ |
Signs for the Atkin-Lehner involutions |
Class |
101970c |
Isogeny class |
Conductor |
101970 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
671232 |
Modular degree for the optimal curve |
Δ |
400962355200 = 219 · 33 · 52 · 11 · 103 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -3 11- 5 -3 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-302610,-63997100] |
[a1,a2,a3,a4,a6] |
j |
113503847134493581947/14850457600 |
j-invariant |
L |
0.81421445491365 |
L(r)(E,1)/r! |
Ω |
0.20355354577909 |
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 |
101970bh1 |
Quadratic twists by: -3 |