Atkin-Lehner |
3+ 5+ 7+ 11+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
42735a |
Isogeny class |
Conductor |
42735 |
Conductor |
∏ cp |
22 |
Product of Tamagawa factors cp |
deg |
270665472 |
Modular degree for the optimal curve |
Δ |
-1.3936161492172E+33 |
Discriminant |
Eigenvalues |
2 3+ 5+ 7+ 11+ -2 -3 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,8288191214,1772457439311267] |
[a1,a2,a3,a4,a6] |
j |
62965549529163867045674134789001216/1393616149217199127805316432421875 |
j-invariant |
L |
2.2517532828155 |
L(r)(E,1)/r! |
Ω |
0.011372491327576 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
128205be1 |
Quadratic twists by: -3 |