Atkin-Lehner |
2- 5- 7- 37- |
Signs for the Atkin-Lehner involutions |
Class |
20720t |
Isogeny class |
Conductor |
20720 |
Conductor |
∏ cp |
748 |
Product of Tamagawa factors cp |
deg |
28902720 |
Modular degree for the optimal curve |
Δ |
-2.2034762284868E+29 |
Discriminant |
Eigenvalues |
2- -2 5- 7- -6 -3 4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3878035120,-95659099689900] |
[a1,a2,a3,a4,a6] |
Generators |
[615410:480200000:1] |
Generators of the group modulo torsion |
j |
-1574704170311588536689715160881/53795806359541618750000000 |
j-invariant |
L |
3.1864474864161 |
L(r)(E,1)/r! |
Ω |
0.0095465197983755 |
Real period |
R |
0.44623136206837 |
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 |
2590f1 82880bg1 103600bg1 |
Quadratic twists by: -4 8 5 |