Atkin-Lehner |
2- 3- 7- 103+ |
Signs for the Atkin-Lehner involutions |
Class |
51912q |
Isogeny class |
Conductor |
51912 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
2141184 |
Modular degree for the optimal curve |
Δ |
-4.7681311853473E+19 |
Discriminant |
Eigenvalues |
2- 3- 0 7- 5 -6 2 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-13028475,18103461878] |
[a1,a2,a3,a4,a6] |
j |
-163812479280565531250/31936749730389 |
j-invariant |
L |
1.5632452762628 |
L(r)(E,1)/r! |
Ω |
0.19540565959057 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
103824k1 17304b1 |
Quadratic twists by: -4 -3 |