Atkin-Lehner |
2- 3- 5- 73- |
Signs for the Atkin-Lehner involutions |
Class |
70080cr |
Isogeny class |
Conductor |
70080 |
Conductor |
∏ cp |
960 |
Product of Tamagawa factors cp |
Δ |
3.22224251904E+23 |
Discriminant |
Eigenvalues |
2- 3- 5- -4 4 2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-324007105,2244537542975] |
[a1,a2,a3,a4,a6] |
Generators |
[8015:403200:1] |
Generators of the group modulo torsion |
j |
14349851037065469023226289/1229187972656250000 |
j-invariant |
L |
8.3244325817251 |
L(r)(E,1)/r! |
Ω |
0.092160843785156 |
Real period |
R |
1.5054174565204 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999990581 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
70080q2 17520l2 |
Quadratic twists by: -4 8 |