Atkin-Lehner |
2- 3- 5- 53- |
Signs for the Atkin-Lehner involutions |
Class |
76320bv |
Isogeny class |
Conductor |
76320 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
58368 |
Modular degree for the optimal curve |
Δ |
-21364715520 = -1 · 212 · 39 · 5 · 53 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 0 -6 7 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-552,8624] |
[a1,a2,a3,a4,a6] |
Generators |
[-20:108:1] |
Generators of the group modulo torsion |
j |
-6229504/7155 |
j-invariant |
L |
6.4912385600867 |
L(r)(E,1)/r! |
Ω |
1.0967690936526 |
Real period |
R |
0.73981371701515 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001582 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
76320r1 25440a1 |
Quadratic twists by: -4 -3 |