Atkin-Lehner |
2- 3- 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
127050if |
Isogeny class |
Conductor |
127050 |
Conductor |
∏ cp |
13260 |
Product of Tamagawa factors cp |
deg |
53464320 |
Modular degree for the optimal curve |
Δ |
-5.084429778048E+26 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 11- -4 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-14326463,-1085075828583] |
[a1,a2,a3,a4,a6] |
Generators |
[12022:-699011:1] |
Generators of the group modulo torsion |
j |
-1421509920358606969/2222549728809984000 |
j-invariant |
L |
13.874768845477 |
L(r)(E,1)/r! |
Ω |
0.023625672048419 |
Real period |
R |
0.04428922283611 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000038463 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
25410g1 127050cz1 |
Quadratic twists by: 5 -11 |