Atkin-Lehner |
2- 3- 7- 19- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
110124s |
Isogeny class |
Conductor |
110124 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
64512 |
Modular degree for the optimal curve |
Δ |
820644048 = 24 · 36 · 7 · 19 · 232 |
Discriminant |
Eigenvalues |
2- 3- 4 7- 4 -2 -4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-468,3645] |
[a1,a2,a3,a4,a6] |
Generators |
[-30:585:8] |
Generators of the group modulo torsion |
j |
971882496/70357 |
j-invariant |
L |
10.785182320403 |
L(r)(E,1)/r! |
Ω |
1.5552594990845 |
Real period |
R |
3.4673256497816 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000012905 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12236f1 |
Quadratic twists by: -3 |