Atkin-Lehner |
3+ 5+ 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
124215q |
Isogeny class |
Conductor |
124215 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
2695680 |
Modular degree for the optimal curve |
Δ |
-2.1053397601138E+19 |
Discriminant |
Eigenvalues |
1 3+ 5+ 7- 0 13- 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-836553,-368406072] |
[a1,a2,a3,a4,a6] |
Generators |
[6315990763705945659571836:-673895100765503178603579418:556326747202930304229] |
Generators of the group modulo torsion |
j |
-51895117/16875 |
j-invariant |
L |
6.1527345588963 |
L(r)(E,1)/r! |
Ω |
0.077646017410855 |
Real period |
R |
39.620412385093 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000161131 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2535m1 124215bn1 |
Quadratic twists by: -7 13 |