Atkin-Lehner |
2- 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
100672ds |
Isogeny class |
Conductor |
100672 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
30720 |
Modular degree for the optimal curve |
Δ |
103088128 = 216 · 112 · 13 |
Discriminant |
Eigenvalues |
2- 1 4 -2 11- 13- -3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-161,-673] |
[a1,a2,a3,a4,a6] |
j |
58564/13 |
j-invariant |
L |
2.7216178323468 |
L(r)(E,1)/r! |
Ω |
1.3608087780658 |
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 |
100672bu1 25168d1 100672cs1 |
Quadratic twists by: -4 8 -11 |