Atkin-Lehner |
2- 3+ 7- 53- |
Signs for the Atkin-Lehner involutions |
Class |
124656cu |
Isogeny class |
Conductor |
124656 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
1105920 |
Modular degree for the optimal curve |
Δ |
-49120520502509568 = -1 · 218 · 34 · 77 · 532 |
Discriminant |
Eigenvalues |
2- 3+ -2 7- -4 0 6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-101544,16429680] |
[a1,a2,a3,a4,a6] |
Generators |
[-327:3816:1] [-30:4410:1] |
Generators of the group modulo torsion |
j |
-240293820313/101932992 |
j-invariant |
L |
8.7920614902274 |
L(r)(E,1)/r! |
Ω |
0.33441396811527 |
Real period |
R |
1.6431844818334 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000004074 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15582m1 17808t1 |
Quadratic twists by: -4 -7 |