Atkin-Lehner |
2- 3- 11- 37- |
Signs for the Atkin-Lehner involutions |
Class |
78144de |
Isogeny class |
Conductor |
78144 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
Δ |
-23896740429213696 = -1 · 212 · 318 · 11 · 372 |
Discriminant |
Eigenvalues |
2- 3- -2 -2 11- -6 -8 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,54071,5665751] |
[a1,a2,a3,a4,a6] |
Generators |
[341:7992:1] |
Generators of the group modulo torsion |
j |
4268241036312128/5834165143851 |
j-invariant |
L |
4.6549104138765 |
L(r)(E,1)/r! |
Ω |
0.25586922507939 |
Real period |
R |
1.0106965148061 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002721 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
78144by2 39072i1 |
Quadratic twists by: -4 8 |