Atkin-Lehner |
2+ 3+ 5- 73- |
Signs for the Atkin-Lehner involutions |
Class |
70080n |
Isogeny class |
Conductor |
70080 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-75686400000000 = -1 · 215 · 34 · 58 · 73 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 0 0 -2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-4385,-431775] |
[a1,a2,a3,a4,a6] |
Generators |
[145:1400:1] |
Generators of the group modulo torsion |
j |
-284630612552/2309765625 |
j-invariant |
L |
5.4521937419043 |
L(r)(E,1)/r! |
Ω |
0.25824616840023 |
Real period |
R |
1.3195243553745 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999994945 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
70080ba3 35040f2 |
Quadratic twists by: -4 8 |