Atkin-Lehner |
2- 3+ 7- 11- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
100254bt |
Isogeny class |
Conductor |
100254 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
284160 |
Modular degree for the optimal curve |
Δ |
-8091221032356 = -1 · 22 · 3 · 711 · 11 · 31 |
Discriminant |
Eigenvalues |
2- 3+ -3 7- 11- 4 1 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-8527,328985] |
[a1,a2,a3,a4,a6] |
j |
-582810602977/68774244 |
j-invariant |
L |
2.8676321808679 |
L(r)(E,1)/r! |
Ω |
0.7169080060813 |
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 |
14322m1 |
Quadratic twists by: -7 |