Atkin-Lehner |
2- 3- 37- 43- |
Signs for the Atkin-Lehner involutions |
Class |
76368l |
Isogeny class |
Conductor |
76368 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
322560 |
Modular degree for the optimal curve |
Δ |
-758495519440896 = -1 · 232 · 3 · 372 · 43 |
Discriminant |
Eigenvalues |
2- 3- 1 3 -5 1 8 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-17480,1590132] |
[a1,a2,a3,a4,a6] |
Generators |
[6492:90946:27] |
Generators of the group modulo torsion |
j |
-144215816802121/185179570176 |
j-invariant |
L |
9.8193155859444 |
L(r)(E,1)/r! |
Ω |
0.45639196578006 |
Real period |
R |
5.3787732475689 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002212 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9546b1 |
Quadratic twists by: -4 |