Atkin-Lehner |
2+ 3- 7- 11- 89- |
Signs for the Atkin-Lehner involutions |
Class |
123354be |
Isogeny class |
Conductor |
123354 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
16629760 |
Modular degree for the optimal curve |
Δ |
-1.2919985147867E+20 |
Discriminant |
Eigenvalues |
2+ 3- -4 7- 11- -2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-50599179,-138524645691] |
[a1,a2,a3,a4,a6] |
Generators |
[1779645:177065598:125] |
Generators of the group modulo torsion |
j |
-19652897962787216604443569/177228877199818752 |
j-invariant |
L |
3.9581446402208 |
L(r)(E,1)/r! |
Ω |
0.028303064173127 |
Real period |
R |
8.7405391498487 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999817248 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
41118w1 |
Quadratic twists by: -3 |