Atkin-Lehner |
5+ 7+ 11+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
78925a |
Isogeny class |
Conductor |
78925 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
87360 |
Modular degree for the optimal curve |
Δ |
-339130859375 = -1 · 510 · 7 · 112 · 41 |
Discriminant |
Eigenvalues |
1 -1 5+ 7+ 11+ 5 2 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-4700,-129125] |
[a1,a2,a3,a4,a6] |
Generators |
[1178658:6467567:12167] |
Generators of the group modulo torsion |
j |
-1176147025/34727 |
j-invariant |
L |
5.7515982532543 |
L(r)(E,1)/r! |
Ω |
0.28779130710313 |
Real period |
R |
9.9926545943263 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999982471 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
78925l1 |
Quadratic twists by: 5 |