Atkin-Lehner |
2+ 5- 37- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
15170g |
Isogeny class |
Conductor |
15170 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
deg |
5328 |
Modular degree for the optimal curve |
Δ |
-519193250 = -1 · 2 · 53 · 373 · 41 |
Discriminant |
Eigenvalues |
2+ 1 5- 2 0 -1 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-168,-1392] |
[a1,a2,a3,a4,a6] |
Generators |
[138708:1840240:729] |
Generators of the group modulo torsion |
j |
-519912412921/519193250 |
j-invariant |
L |
4.6422572911971 |
L(r)(E,1)/r! |
Ω |
0.63781188905025 |
Real period |
R |
7.2784113480696 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
121360ba1 75850h1 |
Quadratic twists by: -4 5 |