Atkin-Lehner |
3- 5+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
15075j |
Isogeny class |
Conductor |
15075 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
51840 |
Modular degree for the optimal curve |
Δ |
-185450765625 = -1 · 311 · 56 · 67 |
Discriminant |
Eigenvalues |
1 3- 5+ 3 0 -4 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-178767,-29047734] |
[a1,a2,a3,a4,a6] |
Generators |
[12129003041474694:341047594232219262:11863271991943] |
Generators of the group modulo torsion |
j |
-55467626237353/16281 |
j-invariant |
L |
6.0633859183107 |
L(r)(E,1)/r! |
Ω |
0.11609074533017 |
Real period |
R |
26.114854810631 |
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 |
5025f1 603c1 |
Quadratic twists by: -3 5 |