Atkin-Lehner |
3- 5+ 29+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
115275o |
Isogeny class |
Conductor |
115275 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
262656 |
Modular degree for the optimal curve |
Δ |
-405263671875 = -1 · 33 · 510 · 29 · 53 |
Discriminant |
Eigenvalues |
2 3- 5+ -3 4 -1 6 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-4908,134219] |
[a1,a2,a3,a4,a6] |
Generators |
[474:1871:8] |
Generators of the group modulo torsion |
j |
-836962177024/25936875 |
j-invariant |
L |
16.332417012032 |
L(r)(E,1)/r! |
Ω |
0.94278907943516 |
Real period |
R |
1.4436259150807 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000025532 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
23055b1 |
Quadratic twists by: 5 |