Atkin-Lehner |
11+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
15059b |
Isogeny class |
Conductor |
15059 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
165168 |
Modular degree for the optimal curve |
Δ |
-51426211684857361 = -1 · 114 · 378 |
Discriminant |
Eigenvalues |
-1 -2 -3 2 11+ 6 3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-241657,-47028174] |
[a1,a2,a3,a4,a6] |
Generators |
[181570:6364928:125] |
Generators of the group modulo torsion |
j |
-444332593/14641 |
j-invariant |
L |
1.7797782459907 |
L(r)(E,1)/r! |
Ω |
0.10745545258308 |
Real period |
R |
8.2814701497566 |
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 |
15059a1 |
Quadratic twists by: 37 |