Atkin-Lehner |
3- 7- 19+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
103341q |
Isogeny class |
Conductor |
103341 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
36495360 |
Modular degree for the optimal curve |
Δ |
-4.2531310776034E+24 |
Discriminant |
Eigenvalues |
2 3- 3 7- -5 -3 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-27366614,113488076195] |
[a1,a2,a3,a4,a6] |
Generators |
[38810:2464745:8] |
Generators of the group modulo torsion |
j |
-19266316379859144060928/36151017667837279011 |
j-invariant |
L |
19.655856982289 |
L(r)(E,1)/r! |
Ω |
0.069447334737465 |
Real period |
R |
2.9482558430907 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999904945 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14763e1 |
Quadratic twists by: -7 |