Atkin-Lehner |
2- 3+ 5- 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
48300m |
Isogeny class |
Conductor |
48300 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-1049800500000000 = -1 · 28 · 34 · 59 · 72 · 232 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- -2 6 8 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-59708,5847912] |
[a1,a2,a3,a4,a6] |
Generators |
[217:1750:1] |
Generators of the group modulo torsion |
j |
-47082395792/2099601 |
j-invariant |
L |
5.71342079806 |
L(r)(E,1)/r! |
Ω |
0.48725275817121 |
Real period |
R |
2.9314461038282 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999611 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
48300y2 |
Quadratic twists by: 5 |