Atkin-Lehner |
3- 5- 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
56925bk |
Isogeny class |
Conductor |
56925 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
691200 |
Modular degree for the optimal curve |
Δ |
-9.9798640960605E+18 |
Discriminant |
Eigenvalues |
0 3- 5- -1 11- -6 1 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-342750,-170489844] |
[a1,a2,a3,a4,a6] |
Generators |
[900:15812:1] |
Generators of the group modulo torsion |
j |
-3127508762624/7009177527 |
j-invariant |
L |
3.9039326460173 |
L(r)(E,1)/r! |
Ω |
0.092295377067586 |
Real period |
R |
1.0574561722562 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999588 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
18975u1 56925bh1 |
Quadratic twists by: -3 5 |