Atkin-Lehner |
2- 3- 7+ 11+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
107184cd |
Isogeny class |
Conductor |
107184 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
6193152 |
Modular degree for the optimal curve |
Δ |
7.3265905639807E+19 |
Discriminant |
Eigenvalues |
2- 3- 2 7+ 11+ 2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-22299032,40520524692] |
[a1,a2,a3,a4,a6] |
Generators |
[13147254852:-173994410366:5545233] |
Generators of the group modulo torsion |
j |
299379332603866521531673/17887183994093568 |
j-invariant |
L |
9.6518509760311 |
L(r)(E,1)/r! |
Ω |
0.18391737360554 |
Real period |
R |
13.11981950327 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999949761 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13398e1 |
Quadratic twists by: -4 |