Atkin-Lehner |
2- 3+ 5+ 11+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
97350bn |
Isogeny class |
Conductor |
97350 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
315900750000 = 24 · 3 · 56 · 112 · 592 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -2 11+ -2 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-6738,-213969] |
[a1,a2,a3,a4,a6] |
Generators |
[-49:63:1] [-45:47:1] |
Generators of the group modulo torsion |
j |
2165213540953/20217648 |
j-invariant |
L |
13.776553393487 |
L(r)(E,1)/r! |
Ω |
0.52724349647915 |
Real period |
R |
3.2661743305228 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000294 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3894d2 |
Quadratic twists by: 5 |