Atkin-Lehner |
2- 3- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
60984ce |
Isogeny class |
Conductor |
60984 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
473088 |
Modular degree for the optimal curve |
Δ |
101651464503477504 = 28 · 37 · 7 · 1110 |
Discriminant |
Eigenvalues |
2- 3- 1 7- 11- 0 3 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-175692,-23835548] |
[a1,a2,a3,a4,a6] |
Generators |
[-208:1926:1] |
Generators of the group modulo torsion |
j |
123904/21 |
j-invariant |
L |
7.0391515614313 |
L(r)(E,1)/r! |
Ω |
0.23588307714498 |
Real period |
R |
3.7302122552979 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999947 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
121968be1 20328j1 60984s1 |
Quadratic twists by: -4 -3 -11 |