Atkin-Lehner |
2- 3- 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
73920hc |
Isogeny class |
Conductor |
73920 |
Conductor |
∏ cp |
45 |
Product of Tamagawa factors cp |
deg |
2903040 |
Modular degree for the optimal curve |
Δ |
-2.840290282368E+19 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 11- 6 -3 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-7856821,-8483032621] |
[a1,a2,a3,a4,a6] |
Generators |
[4742:246807:1] |
Generators of the group modulo torsion |
j |
-3273741656681120014336/1733575611796875 |
j-invariant |
L |
8.9234908739149 |
L(r)(E,1)/r! |
Ω |
0.045086242828556 |
Real period |
R |
4.3982329144775 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999713 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
73920d1 18480ch1 |
Quadratic twists by: -4 8 |