Atkin-Lehner |
2- 3+ 5+ 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
85800bq |
Isogeny class |
Conductor |
85800 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
334620000000000 = 211 · 32 · 510 · 11 · 132 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 11+ 13- 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-7333008,-7640687988] |
[a1,a2,a3,a4,a6] |
Generators |
[45949833627228993:1854719035125175700:11587669164189] |
Generators of the group modulo torsion |
j |
1362762798430761362/10456875 |
j-invariant |
L |
4.9656063036484 |
L(r)(E,1)/r! |
Ω |
0.091744282857394 |
Real period |
R |
27.06221111699 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001452 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
17160g2 |
Quadratic twists by: 5 |