Atkin-Lehner |
2- 3- 23- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
102672bx |
Isogeny class |
Conductor |
102672 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
138240 |
Modular degree for the optimal curve |
Δ |
-11294770842864 = -1 · 24 · 316 · 232 · 31 |
Discriminant |
Eigenvalues |
2- 3- -1 -1 4 -4 6 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3873,186419] |
[a1,a2,a3,a4,a6] |
j |
-550831403776/968344551 |
j-invariant |
L |
2.566023633309 |
L(r)(E,1)/r! |
Ω |
0.64150592925727 |
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 |
25668d1 34224o1 |
Quadratic twists by: -4 -3 |