Atkin-Lehner |
3+ 7- 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
78897h |
Isogeny class |
Conductor |
78897 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1188864 |
Modular degree for the optimal curve |
Δ |
-462764772878499 = -1 · 36 · 7 · 13 · 178 |
Discriminant |
Eigenvalues |
2 3+ 3 7- -2 13- 17+ 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-841664,-296926513] |
[a1,a2,a3,a4,a6] |
Generators |
[1734391203087681975925942558510:158417551420918680944908195898297:205311292941065759065964312] |
Generators of the group modulo torsion |
j |
-2731787761881088/19171971 |
j-invariant |
L |
14.189795628454 |
L(r)(E,1)/r! |
Ω |
0.078810602053875 |
Real period |
R |
45.012331014657 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4641e1 |
Quadratic twists by: 17 |