Atkin-Lehner |
3+ 5+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
72075a |
Isogeny class |
Conductor |
72075 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
1964160 |
Modular degree for the optimal curve |
Δ |
4.8574809866757E+19 |
Discriminant |
Eigenvalues |
0 3+ 5+ 4 3 4 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-993033,-180311407] |
[a1,a2,a3,a4,a6] |
Generators |
[99306:11027471:8] |
Generators of the group modulo torsion |
j |
8126464/3645 |
j-invariant |
L |
5.7108343141121 |
L(r)(E,1)/r! |
Ω |
0.15770926983979 |
Real period |
R |
3.0175959848027 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001568 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14415d1 72075ba1 |
Quadratic twists by: 5 -31 |