Atkin-Lehner |
2- 3+ 7- 17- 23- |
Signs for the Atkin-Lehner involutions |
Class |
49266bj |
Isogeny class |
Conductor |
49266 |
Conductor |
∏ cp |
1680 |
Product of Tamagawa factors cp |
deg |
7580160 |
Modular degree for the optimal curve |
Δ |
-1.3376161595425E+22 |
Discriminant |
Eigenvalues |
2- 3+ -4 7- 3 7 17- 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-5269322,-7253915255] |
[a1,a2,a3,a4,a6] |
Generators |
[29401:5010431:1] |
Generators of the group modulo torsion |
j |
-822046827643887000987/679579413474820096 |
j-invariant |
L |
8.5165764425555 |
L(r)(E,1)/r! |
Ω |
0.048134182348999 |
Real period |
R |
0.10531789452324 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000044 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
49266g1 |
Quadratic twists by: -3 |