Atkin-Lehner |
2+ 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
14872c |
Isogeny class |
Conductor |
14872 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
159744 |
Modular degree for the optimal curve |
Δ |
-12229748209828864 = -1 · 210 · 114 · 138 |
Discriminant |
Eigenvalues |
2+ 0 3 0 11- 13+ 7 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-577811,-169138242] |
[a1,a2,a3,a4,a6] |
j |
-25540791588/14641 |
j-invariant |
L |
2.7704999975003 |
L(r)(E,1)/r! |
Ω |
0.086578124921883 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
29744a1 118976c1 14872f1 |
Quadratic twists by: -4 8 13 |