Atkin-Lehner |
3- 5+ 7+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
27825n |
Isogeny class |
Conductor |
27825 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
deg |
56448 |
Modular degree for the optimal curve |
Δ |
-443721796875 = -1 · 37 · 57 · 72 · 53 |
Discriminant |
Eigenvalues |
-2 3- 5+ 7+ -2 -4 -3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-2758,63394] |
[a1,a2,a3,a4,a6] |
Generators |
[32:94:1] [-52:262:1] |
Generators of the group modulo torsion |
j |
-148540174336/28398195 |
j-invariant |
L |
4.941411549143 |
L(r)(E,1)/r! |
Ω |
0.90177715455192 |
Real period |
R |
0.097850662443116 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
83475w1 5565e1 |
Quadratic twists by: -3 5 |