Atkin-Lehner |
2- 3- 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
66654ca |
Isogeny class |
Conductor |
66654 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
6994944 |
Modular degree for the optimal curve |
Δ |
3.1462957256512E+19 |
Discriminant |
Eigenvalues |
2- 3- 3 7- -4 0 -3 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-51902141,-143908385007] |
[a1,a2,a3,a4,a6] |
Generators |
[-1508268467747419298814319854778885637:931830863026036536383525352470165550:362550965578677997547469491090609] |
Generators of the group modulo torsion |
j |
270850291507273/551124 |
j-invariant |
L |
12.228242189641 |
L(r)(E,1)/r! |
Ω |
0.056247508506959 |
Real period |
R |
54.350150407678 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
22218j1 66654bt1 |
Quadratic twists by: -3 -23 |