Atkin-Lehner |
2- 3+ 5+ 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
123420f |
Isogeny class |
Conductor |
123420 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
83865600 |
Modular degree for the optimal curve |
Δ |
-8.8226633912212E+26 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 5 11- -1 17+ -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-331907396,-2731031213304] |
[a1,a2,a3,a4,a6] |
Generators |
[2613577543668185367:402745750877864097836:73976923556739] |
Generators of the group modulo torsion |
j |
-8916171784936232672464/1945376358587578125 |
j-invariant |
L |
6.090653197079 |
L(r)(E,1)/r! |
Ω |
0.017481706153793 |
Real period |
R |
29.033460957688 |
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 |
11220e1 |
Quadratic twists by: -11 |