Atkin-Lehner |
2- 3+ 5+ 11+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
97350bn |
Isogeny class |
Conductor |
97350 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
81920 |
Modular degree for the optimal curve |
Δ |
23364000000 = 28 · 32 · 56 · 11 · 59 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -2 11+ -2 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-738,2031] |
[a1,a2,a3,a4,a6] |
Generators |
[-5:77:1] [-25:87:1] |
Generators of the group modulo torsion |
j |
2845178713/1495296 |
j-invariant |
L |
13.776553393487 |
L(r)(E,1)/r! |
Ω |
1.0544869929583 |
Real period |
R |
0.8165435826307 |
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 |
3894d1 |
Quadratic twists by: 5 |