Atkin-Lehner |
2+ 3- 5- 11+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
48840j |
Isogeny class |
Conductor |
48840 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
-24789999930854400 = -1 · 210 · 312 · 52 · 113 · 372 |
Discriminant |
Eigenvalues |
2+ 3- 5- -2 11+ 6 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-16560,7614000] |
[a1,a2,a3,a4,a6] |
Generators |
[108:2664:1] |
Generators of the group modulo torsion |
j |
-490490926752964/24208984307475 |
j-invariant |
L |
8.1703211339932 |
L(r)(E,1)/r! |
Ω |
0.31331810350586 |
Real period |
R |
1.0865316859814 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999971 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
97680g2 |
Quadratic twists by: -4 |