Atkin-Lehner |
3- 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
27225bp |
Isogeny class |
Conductor |
27225 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
23040 |
Modular degree for the optimal curve |
Δ |
-37213171875 = -1 · 39 · 56 · 112 |
Discriminant |
Eigenvalues |
2 3- 5+ 1 11- -2 -4 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,825,-1719] |
[a1,a2,a3,a4,a6] |
Generators |
[450:3771:8] |
Generators of the group modulo torsion |
j |
45056/27 |
j-invariant |
L |
10.949971575071 |
L(r)(E,1)/r! |
Ω |
0.67323882878646 |
Real period |
R |
4.0661542037054 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9075o1 1089k1 27225br1 |
Quadratic twists by: -3 5 -11 |