Atkin-Lehner |
2+ 5+ 29+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
88450a |
Isogeny class |
Conductor |
88450 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
806400 |
Modular degree for the optimal curve |
Δ |
-40134837165250000 = -1 · 24 · 56 · 294 · 613 |
Discriminant |
Eigenvalues |
2+ -2 5+ -1 3 -5 4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-33501,9920648] |
[a1,a2,a3,a4,a6] |
Generators |
[-157:3442:1] |
Generators of the group modulo torsion |
j |
-266108264948161/2568629578576 |
j-invariant |
L |
2.347456294424 |
L(r)(E,1)/r! |
Ω |
0.30987137397502 |
Real period |
R |
1.8938957382883 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999832526 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3538d1 |
Quadratic twists by: 5 |