Atkin-Lehner |
2- 3- 31+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
27528f |
Isogeny class |
Conductor |
27528 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
9472 |
Modular degree for the optimal curve |
Δ |
-55000944 = -1 · 24 · 34 · 31 · 372 |
Discriminant |
Eigenvalues |
2- 3- 3 1 0 4 -6 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-304,1973] |
[a1,a2,a3,a4,a6] |
Generators |
[26:111:1] |
Generators of the group modulo torsion |
j |
-194828415232/3437559 |
j-invariant |
L |
8.5369868043346 |
L(r)(E,1)/r! |
Ω |
1.9914190463217 |
Real period |
R |
0.26793038675434 |
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 |
55056d1 82584b1 |
Quadratic twists by: -4 -3 |