Atkin-Lehner |
2- 3+ 5+ 7+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
32550bq |
Isogeny class |
Conductor |
32550 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
62208 |
Modular degree for the optimal curve |
Δ |
-91546875000 = -1 · 23 · 33 · 59 · 7 · 31 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ 0 1 -3 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-9688,363281] |
[a1,a2,a3,a4,a6] |
Generators |
[55:-53:1] |
Generators of the group modulo torsion |
j |
-6435893935801/5859000 |
j-invariant |
L |
6.6243980834705 |
L(r)(E,1)/r! |
Ω |
1.0652889981628 |
Real period |
R |
1.0364007787081 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999998 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
97650w1 6510j1 |
Quadratic twists by: -3 5 |