Atkin-Lehner |
2- 3+ 5+ 7+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
38640bm |
Isogeny class |
Conductor |
38640 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
82944 |
Modular degree for the optimal curve |
Δ |
6421307719680 = 218 · 33 · 5 · 73 · 232 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ -6 2 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-16416,-794880] |
[a1,a2,a3,a4,a6] |
Generators |
[-79:52:1] |
Generators of the group modulo torsion |
j |
119451676585249/1567702080 |
j-invariant |
L |
3.369744744666 |
L(r)(E,1)/r! |
Ω |
0.42210974262599 |
Real period |
R |
3.9915505428796 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999969 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4830be1 115920eg1 |
Quadratic twists by: -4 -3 |