Atkin-Lehner |
2+ 3+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
127896b |
Isogeny class |
Conductor |
127896 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
36792000 |
Modular degree for the optimal curve |
Δ |
-1.5038252303299E+23 |
Discriminant |
Eigenvalues |
2+ 3+ 0 5 -2 2 4 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-662625623,6565485049380] |
[a1,a2,a3,a4,a6] |
Generators |
[6327673093066696733665119705:2473256996572705939707409115:426119838532903765143243] |
Generators of the group modulo torsion |
j |
-467928832000/2187 |
j-invariant |
L |
7.8550184380741 |
L(r)(E,1)/r! |
Ω |
0.090840713113375 |
Real period |
R |
43.23512095436 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
127896c1 |
Quadratic twists by: 73 |