Atkin-Lehner |
2- 3+ 5- 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
31920bi |
Isogeny class |
Conductor |
31920 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
5199377299200 = 28 · 38 · 52 · 73 · 192 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 4 4 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-45220,3714700] |
[a1,a2,a3,a4,a6] |
Generators |
[45:1330:1] |
Generators of the group modulo torsion |
j |
39947078668956496/20310067575 |
j-invariant |
L |
6.0395858574179 |
L(r)(E,1)/r! |
Ω |
0.7551182530491 |
Real period |
R |
1.3330331227439 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7980f2 127680fk2 95760ed2 |
Quadratic twists by: -4 8 -3 |