Atkin-Lehner |
2- 3- 13+ 19- 29- |
Signs for the Atkin-Lehner involutions |
Class |
42978r |
Isogeny class |
Conductor |
42978 |
Conductor |
∏ cp |
2744 |
Product of Tamagawa factors cp |
deg |
11063808 |
Modular degree for the optimal curve |
Δ |
-5.7372426256025E+24 |
Discriminant |
Eigenvalues |
2- 3- -1 1 -2 13+ 4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-459769306,3796241996132] |
[a1,a2,a3,a4,a6] |
Generators |
[9812:474326:1] |
Generators of the group modulo torsion |
j |
-10748395438529140294639078020769/5737242625602477531070464 |
j-invariant |
L |
10.808187347937 |
L(r)(E,1)/r! |
Ω |
0.074946059990541 |
Real period |
R |
2.5752300457589 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999996 |
(Analytic) order of Ш |
t |
7 |
Number of elements in the torsion subgroup |
Twists |
128934i1 |
Quadratic twists by: -3 |