Atkin-Lehner |
2- 3+ 5- 7+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
123900r |
Isogeny class |
Conductor |
123900 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
464712349500000000 = 28 · 38 · 59 · 74 · 59 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ -4 2 0 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-204708,14037912] |
[a1,a2,a3,a4,a6] |
Generators |
[17:3250:1] [1517:56500:1] |
Generators of the group modulo torsion |
j |
1897406023952/929424699 |
j-invariant |
L |
9.7089547790566 |
L(r)(E,1)/r! |
Ω |
0.2629147236942 |
Real period |
R |
18.464075802247 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000003526 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
123900bh2 |
Quadratic twists by: 5 |