Atkin-Lehner |
2+ 7+ 11- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
72842c |
Isogeny class |
Conductor |
72842 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
988416 |
Modular degree for the optimal curve |
Δ |
-488657800649396224 = -1 · 212 · 7 · 118 · 433 |
Discriminant |
Eigenvalues |
2+ 0 -1 7+ 11- -4 2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1154060,-478084656] |
[a1,a2,a3,a4,a6] |
j |
-792989812776249/2279624704 |
j-invariant |
L |
0.43690693037432 |
L(r)(E,1)/r! |
Ω |
0.072817819772137 |
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 |
72842w1 |
Quadratic twists by: -11 |