Atkin-Lehner |
2- 3+ 5+ 7- 47- |
Signs for the Atkin-Lehner involutions |
Class |
39480p |
Isogeny class |
Conductor |
39480 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
-89930718505313280 = -1 · 210 · 33 · 5 · 712 · 47 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 0 -2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,96144,-8779140] |
[a1,a2,a3,a4,a6] |
Generators |
[134:2548:1] [374:8908:1] |
Generators of the group modulo torsion |
j |
95981116678267964/87822967290345 |
j-invariant |
L |
7.6452405741748 |
L(r)(E,1)/r! |
Ω |
0.1860329810458 |
Real period |
R |
6.8493594802349 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
78960l3 118440bi3 |
Quadratic twists by: -4 -3 |