Atkin-Lehner |
3- 19- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
74727o |
Isogeny class |
Conductor |
74727 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
9.7663729782803E+24 |
Discriminant |
Eigenvalues |
-1 3- 2 0 4 2 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-299359679,-1987847299384] |
[a1,a2,a3,a4,a6] |
Generators |
[-179381139477916754612687881594991068167529102140:-1200930433121474430573218078889384535042326750283:17754368139517446646711458448076315785630016] |
Generators of the group modulo torsion |
j |
86507645152456935217/284763401508447 |
j-invariant |
L |
5.36057257905 |
L(r)(E,1)/r! |
Ω |
0.036302554313614 |
Real period |
R |
73.831892536331 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002417 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
24909m6 3933a5 |
Quadratic twists by: -3 -19 |