Atkin-Lehner |
2+ 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
100672c |
Isogeny class |
Conductor |
100672 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
709632 |
Modular degree for the optimal curve |
Δ |
-1028554740943814656 = -1 · 225 · 119 · 13 |
Discriminant |
Eigenvalues |
2+ 0 1 -1 11+ 13- 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,250228,-7730448] |
[a1,a2,a3,a4,a6] |
j |
2803221/1664 |
j-invariant |
L |
0.64810262382293 |
L(r)(E,1)/r! |
Ω |
0.16202567607675 |
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 |
100672ce1 3146a1 100672a1 |
Quadratic twists by: -4 8 -11 |