Atkin-Lehner |
2- 5- 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
45980g |
Isogeny class |
Conductor |
45980 |
Conductor |
∏ cp |
168 |
Product of Tamagawa factors cp |
deg |
72253440 |
Modular degree for the optimal curve |
Δ |
3.0357843521332E+29 |
Discriminant |
Eigenvalues |
2- 2 5- -4 11- 4 -4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1923508605,18751831822022] |
[a1,a2,a3,a4,a6] |
Generators |
[136124685159:-17696397420955:2803221] |
Generators of the group modulo torsion |
j |
27767067707389964045910016/10710132025277343828125 |
j-invariant |
L |
7.9765887337258 |
L(r)(E,1)/r! |
Ω |
0.02794454399772 |
Real period |
R |
6.7962740558429 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000019 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4180b1 |
Quadratic twists by: -11 |